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Chapters 2.5-2.8 Test
2.5 (Correlation and Best-Fitting Lines), 2.6 (Linear Inequalities in Two Variables), 2.7 (Piecewise Functions), & 2.8 (Absolute Value Functions).
30
Mathematics
11th Grade
11/04/2010

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Cards

Term
A _________ ________ is a graph used to determine whether there is a relationship between paired data.
Definition
Scatter Plot
Term

If y tends to increase as x increases, then the paired data are said to have a ...[image]

 

[image]

Definition
Positive Correlation
Term
If tends to decrease as x decreases, then the paired data are said to have a ...[image]
Definition
Negative Correlation
Term
If the points show no linear pattern, then the paired data are said to have...
Definition
Relatively No Correlation
Term
Formula for Slope is...
Definition
m = y2-y1/x2-x1
Term
Point Slope Formula is...
Definition
y-y1 = m(x-x1)
Term
When data show a positive or negative correlation, you can approximate the data with a ______. You can do this by finding the ...
Definition
line, "best-fitting line"
Term
Sometimes  the best-fitting line is not a very good fit. In statistics, the _________ _________, r, is used to measure how well a collection of data points can be modeled by a line
Definition
Correlation Coefficients
Term
A linear inequality in 2 variables can be expressed using these four relationship symbols:
Definition
<, >, <, and >.
Term
The ____________ _______ for a linear inequality in 2 variables is the set of all ordered pairs (x,y) that make the inequality _______.
Definition
Solution Set, "true"
Term
Name the 2 steps to exhibiting the solution set of a linear inequality in 2 variables.
Definition

1) First, graph the boundary line. 

2) Second, shade the region.

Term
If the relationship symbol is <, or >, then the line is ________.
Definition
Dashed
Term

If the relationship symbol is <, or >, then the line is ________.

Definition
Solid
Term
If y<ax+c, or y<ax+c, then shade _______.
Definition
Below
Term

 

If y>ax+c, or y>ax+c, then shade _______.

 

Definition
Above
Term

A function represented by a combination of equations, each corresponding to a part of the domain. 

 

                           Ex. {2x-1, if x<1

                                                  {3x+2, if x>1

Definition
Piecewise Function
Term
What is an example of a piecewise function that is formed by horizontal line segments that represent the tops of ________ _______?
Definition

A Step Function.

"stair steps"

Term

The ________ _________ _________ is an example of a step function (which is also piecewise). By definition, it is the greatest integer which is less than or equal to x(independent variable). 

y or f(x) = [[x]]

Definition
Greatest Integer Function
Term
An ordered pair (x,y) is a _________ of a linear inequality if the inequality is true when the values of x and are substituted into the inequality.
Definition
Solution
Term
Name the three part definition of Absolute Value:
Definition

|x|= x, if x>0 (Positive)

              0, if x=0 (Zero)

                     -x, if x<0 (Negative)

Term
The graph of an Absolute Value Equation in 2 variables is a "__" shaped graph.
Definition
V
Term
The _________ _______ is the point of intersection of the two sides of the "V".
Definition
Vertex Point
Term
The formula for graphing general absolute value functions in 2 variables is...
Definition
y = a|x-h|+ k
Term

What is the vertex point in the equation        y = a|x-h|+ k

?

Definition
(h,k)
Term

The Graph of the equation y = a|x-h|+ k is symmetric with respect to the line ______

 

Definition
x = h
Term
The Graph of an Absolute Value Function is "V" shaped and opens upward if ___, and downward if ____.
Definition

          > 0 (upward)

 

             < 0 (downward)

Term
The Graph of an Absolute Value Function is  wider than y = |x| if _______
Definition
|a|< 1
Term

 

The Graph of an Absolute Value Function is  narrower than y = |x| if _______

 

Definition

|a|> 1

Term
In a real life situation(story problem), the "V" shaped graph cannot enter the quadrants...
Definition

II, III or IV

(2, 3 or 4)

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