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Linear Relationships
Functions & Relations
Comparing Functions
Mixed Review
Slope and Rate
100
What is the y-intercept in the following equation? y = 5.2x - 8
-8
100

A relation where each input has exactly one output.

What is a function?

100

The value that describes how much the output changes for each unit increase in input.

What is the rate of change or slope?

100
What is the definition of a function?
For each x value there is one and only one corresponding y value.
100

The formula to calculate the slope from two points

m= y2-y1/x2-x1

200
Solve the following equation: y = 3.5x - 2 when x = 7
22.5
200

The test used to determine if a graph represents a function by checking if any vertical line crosses it more than once.

What is the vertical line test?

200

This form, written as ( y = mx + b ), is used to compare linear functions easily.

What is slope-intercept form?

200
is the following a function? Why or why not? (Note: you must explain why or why not to get the points for this problem) y = 0
Yes because each x value has one and only one y value.
200

The slope of the line passing through points (1, 4) and (3, 10).

What is 3?

300
What is the slope of the line that passes through the points (5,7) and (9,15)?
2
300

The set of all possible input values of a function.

What is the domain?

or what are the x-values?

300

If function A has a slope of 4 and function B has a slope of 2, this function has the steeper rate of change.

What is function A?

300
The following points are on a line: (4, 2) (4, 3) (4, 4) Is the line a function? Why or why not? You must correctly answer why or why not to get credit for this question.
no, because for the value x = 4 there is more than one possible y value.
300

 A line with slope zero represents this type of change.

What is no change or a constant function?

Or 

What is a horizontal line?

400
Solve the following equation y = -8x + 7 when y = -17
x = 3
400

The set of all possible output values of a function.

What is the range?

or What are the y-values?

400

The y-intercept of function A is 3; function B is 5. This function has the greater starting value.

What is function B?

400
Is the equation x = 6 linear? Why or why not? Is it a function? Why or why not? Answer all parts of above for credit for this question.
Yes it is linear because it forms a straight line (vertical) No it is not a function because there is more than one y value when x = 6.
400

If a car travels 180 miles in 3 hours, this is the slope representing speed.

What is 60 miles per hour?

500

A taxi charges $3 plus $2.50 per mile. Write the function to model the total cost for m miles.

What is ( f(m) = 2.5m + 3 )?

500

Different ways to represent a function. (3 things)

What are tables, graphs, equations.


(*verbal description)

500

Function A passes through (0,5) and (2,11). Function B is y = 4x + 3. Which function has the greater y-intercept.

What is Function A (y-intercept = 5)?

500

What is the slope of x = -10?

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500

The slope of the line passing through (-2, 7) and (2, -1).

What is -2?