Term
| How do you know when something is a function? |
|
Definition
-Vertical line test-The line can't go through more than one point
-No x values can be repeated |
|
|
Term
| What is the equation for the difference quotient? |
|
Definition
|
|
Term
| What happens when you have a function inside a square root and you have to find its domain? |
|
Definition
| you have to make a number line and make sure that everything below and above each number works in the domain. also check if the numbers themselves are in the domain as well. |
|
|
Term
|
Definition
| What would you do with the 2 in order to set up what this equation is supposed to look like? |
|
|
Term
| How do you find the domain of something like x/x+3? How is this strategy similar from the one for finding the domain of just a normal combination of functions like x^2+2x+3? |
|
Definition
-Make sure to include the domain of each part of the fraction: x and x+3.
-Then, make sure that you make the denominator in any function that involves a quotient equal to 0 and the x-value you get will be another restriction on the domain. |
|
|
Term
| How do you find the domain of two functions added or subtracted? |
|
Definition
| Just find the numbers that work for BOTH of the functions. |
|
|
Term
(not an obvious answer)
-How would you set up the difference quotient for f(x)=x^2-x+4? |
|
Definition
(x+h)^2-(x+h)+4-x^2+4-4
-Rembember that the signs of the two last numbers (and also first number when it is orig. a negative number) change because the WHOLE function is being subtracted from the one with x+h replacing x. |
|
|
Term
| If a graph was increasing from (-4,0) to (-2,3) and (2,-3) to (4,0) then how would you formally write this? |
|
Definition
(-4,-2)U(2,4)
only take the x-values into account when looking at where it increases/decre. (basically on any intervals) |
|
|
Term
| When asked for the min. and max. of a graph how would you write it? |
|
Definition
| you would only write the y-values that are the max./ min. b/c you're basically only looking at the points in the y-axis to determine which one is the highest and lowest on graph. |
|
|
Term
what would the graph of...look like?
-y=x
-y=x^2
-y=x^3
-y=square root of x
-absolute value of x
-1/x |
|
Definition
-It would just be a straight tilted line going straight through the middle of the graph.
-It would be a parabola
-It would be a parabola but the right side would be like a normal parabola and the other on the left will be turned upside down.
-it would be the left side of a regular parabola tilted horizontally. (there is no other side)
-would be a wide V shape
-look it up
|
|
|
Term
| What would the graph of the distance a bike goes a function of time look like? What does this depend on? |
|
Definition
the graph would keep increasing the whole time but the distance would start to at one point start to increase more slowly so it will level off a bit.
UNLESS it says that the car is traveling at a constant speed which would mean that it's jsut a straight line.
|
|
|
