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| What is the general formula for a Linear Function |
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Definition
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Term
What is the key to recognizing a linear function
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Definition
| Both the x and y variable are to the first power |
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Term
| Is the domain of a Linear Function all real numbers? |
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Definition
| Yes, except for vertical lines which are not functions art all. |
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Term
| What properties does a linear function always have? |
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Definition
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Term
| What properties does a linear function usually or sometimes have? |
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Definition
| Upper or lower bounds, always increasing or decreasing, one-to-one |
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Term
| What properties does a linear function never have? |
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Definition
| Horizontal and Verticle Asymptote, Inflection points, and turns |
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Term
| What pattern are there in the outputs of the type of sequence? |
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Definition
| First differences are constant. |
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Term
| What is a real life example of a linear function? |
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Definition
| Currency conversion, cellphone plan |
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Term
| What is the general formula for a quadratic equation? |
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Definition
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Term
| How do you identify a quadratic formula? |
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Definition
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Term
| Is the domain of a quadratic formula always real numbers? |
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Definition
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Term
| What is the general shape of a quadratic formula? |
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Definition
| It is a parabola or a bowl shape. |
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Term
| What features does a quadratic function never have? |
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Definition
| Horizontal and Verticle asymptotes, Inflection points, and One-to-One |
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Term
| What features does a quadratic function always have? |
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Definition
| Upper or Lower bounds, Turns, can Continuous |
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Term
| What patterns are their in the outputs of the quadratic formula? |
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Definition
| Second differences are constant |
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Term
| What is a real life application to the quadratic formula? |
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Definition
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Term
| Do quadratic functions have lines of symmetry? |
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Definition
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Term
| What is the general formula for a cubic function? |
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Definition
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Term
| How can you easily identify a cubic function? |
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Definition
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Term
| Is the domain of a cubic function always real numbers? |
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Definition
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Term
| What features does a cubic function never have? |
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Definition
| Horizontal and Verticle Asymptote, and Upper or Lower bounds |
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Term
| What features does a cubic function sometimes or usually have? |
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Definition
| Turns, Always increasing or always decreasing, one-to-one |
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Term
| What features does a cubic function always have? |
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Definition
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Term
| What patterns are there in the outputs of a cubic formula? |
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Definition
| Third differences are constant. |
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Term
| What is a real life application for a cubic function? |
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Definition
| Volume of different shaped boxes. |
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Term
| What is the base function for an Exponential Function? |
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Definition
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Term
| How can you distinguish an exponential function? |
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Definition
| Any constant with "x" as an exponenet acting as a variable |
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Term
| Is the domain for Exponential Functions all real numbers? |
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Definition
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Term
| What properties does an exponenetail function always have? |
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Definition
| Horizontal asymptote, Upper or lower bounds, continuous, one-to-one, always increasing or always decreasing. |
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Term
| What properties does a exponential function never have? |
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Definition
| Verticle asymptote, inflection points, and turns |
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Term
| What patterns are there int he outputs of Exponential Functions? |
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Definition
| Ratios or Ratios of First Differences are constant. |
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Term
| What are some real life examples of Exponential Functions? |
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Definition
| Cooling of water, Ulimitied Population growth, radioactive decay. |
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Term
| What is the basic formula for an Absolute Value funciton? |
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Definition
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Term
| How can you distinguish if a function is an absolute value function? |
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Definition
| An formula that has "x" between the absolute value bars. |
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Term
| Is the domain always real numbers? |
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Definition
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Term
| What are some features that an absolute value function Always have? |
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Definition
| Upper or Lower bounds, Continuous, Turns |
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Term
| What are some features that an Absolute Value Function never have? |
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Definition
| Verticle or Horizontal Asymptote, Inflection points, One-to-one |
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Term
| What patterns are there in the outputs of an absolute value function? |
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Definition
| First differences are one value for awhile and then switch to the negative of the value. |
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Term
| What are the real life application for an absolute value function? |
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Definition
| Pacing back and forth, Body tempurature with fever and then taking a fever reducer, Calculating the difference between the measurements that two different machines make of the size of bolt. |
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Term
| What is the basic function for a Logarithmic Function? |
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Definition
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Term
| How can you distinguish a log function? |
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Definition
| Any function with "x" int he argument of "log()" |
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Term
| Is the domain of a logarithmic function all real numbers? |
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Definition
| No, you can't take the log of a negatice number |
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Term
| What are some features that a Logarithmic function always have? |
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Definition
| Verticel Asymptote, continuous, one-to-one, always increasing or always decreasing |
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Term
| What are some properties that a logarithimic function never have? |
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Definition
| Horizontal asymptote, inflection point, upper or lower bounds, and turns |
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Term
| What patterns are there in the outputs of a logarithmic function? |
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Definition
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Term
| What are some real life examples of a log function? |
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Definition
| Learning curve, Walking Rate, Richter Scale, Decibles |
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Term
| What is the base function for a logistical function? |
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Definition
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Term
| How can you distinguish a Logistic Function. |
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Definition
| Typically has an "e" int he denominator. |
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Term
| Is the domain for a logistic function all real numbers? |
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Definition
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Term
| What are some propertites that a logistic function always has? |
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Definition
| Horizontal asypmtotes, one-to-one, continuous, alway increasing or decreasing, upper or lower bounds, Inflection points |
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Term
| What are some propertites that a Logistic funciton never have? |
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Definition
| Verticle asymptote, Turns |
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Term
| What patterns are there in the outputs of a logistic function? |
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Definition
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Term
| What are some real life application to a logstic function? |
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Definition
| Population growth, Epidemic spread of a disease |
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Term
| What is the base function for a Radical Function? |
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Definition
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Term
| How can you distinguish a radical function? |
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Definition
| When "x" is under the radical symbol. |
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Term
| Is the domain all real numbers? |
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Definition
| For odd numbers as "n" yes, for even numbers no |
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Term
| What are som charactaristics that a radical function always have? |
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Definition
| Alway increasing or decreasing, one-to-one, continuous, (sometimes) upper or lower bounds, (sometimes) Inflection points |
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Term
| What are some characteristics that radical functions never have? |
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Definition
| Vertical or Horizontal asymptotes, and turns |
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Term
| What are some patterns in the outputs of a radical function? |
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Definition
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Term
| What are some real life examples of a Radical Function? |
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Definition
| Pendulum or swing, car velocity |
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Term
| What is the base formula for a Rational Function? |
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Definition
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Term
| How do you distinguish a rational function? |
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Definition
| Division, with x in both the numerator or denominator. |
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Term
| Is the domain all real numbers? |
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Definition
| No, something cannot be divided by zero |
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Term
| What does the graph of a rational function look like? |
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Definition
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Term
| What properties does a rational function usually have? |
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Definition
| Vertical and Horizontal asymptote, one to one, always increasing or decreasing |
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Term
| What properties does a rational function sometimes have? |
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Definition
| Inflection points, Upper or lower bounds, turns, and is continuous |
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Term
| What patterns are their in the outputs of a Rational Function? |
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Definition
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Term
| What are some real life application for a Rational Function? |
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Definition
| Preasure inside a closed container, Force of gravity, Intensity of Light |
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