Functions

Identify functions

100

The number of outputs for every input in a function

What is 1?

200

The definition of the vertical line test

The vertical line test is used to visually check if a graphed relation is a function. It is called the vertical line test because if any two points align vertically, then the graphed relation is not a function.

300

Is the following relation a function? {(6, -1), (-2, -3), (1, 8), (-2, 5)} Why or why not? 

No, because the input -2 has two different outputs

400

Which ordered pair should be eliminated to make this relation a function? {(3, 5), (2, 9), (9, 5), (2, 10)}

Either (3,5) or (9,5)

500

What is the difference between a continuous and a discrete function? 

A discrete relation is a relation that consists of a set of individual points. The graph will have breaks or points that are not connected. A continuous relation is a relation that contains an infinite number of elements. The graph has no breaks.

Domain and Range

100

Determine the domain of the following function: {(1, 3), (2, 7), (8, 1)}

Domain = {1, 2, 8}

200

A store sells a set of markers for $2, and the cost can be modeled by the equation f(x) = 2x. The store keeps a maximum of 10 packs in stock. Determine the domain of the function. 

Domain: {0 ≤ x ≤ 10}

300

If the domain of the function, g(x) = x³ – 1, is {1, 2, 3}. What is the range?

Range : {0, 7, 26}

400

The function, f(x) = x – 4, is defined on the domain 4 < x ≤ 10. What is its range? 

Range = 0 < y ≤ 6

500

Create a graph that has a domain 4 < x ≤ 8 and a range of 1 ≤ y ≤ 2.

*Check student's graphs*

Slope

100

This is the letter that stands for slope in slope-intercept form.

What is m?

200

The slope of a horizontal line

What is 0?

300

This is how slope is calculated between 2 ordered pairs.

What is (y₂-y₁)/(x₂-x₁)?

400

Find the slope given: (2, 5) and (8, 11)

What is 1?

500

Find the slope of the equation: 6x + 5y=30

What is -6/5?

Using Intercepts

100

This is the point at which a graph crosses the x-axis.

What is x-intercept? 

200

This is what the 'b' represents in y = mx + b.

What is the y-intercept?

300

Find the x intercept: 2x- 4y=8

What is (4,0)?

400

Find the y-intercept in 2x - 5y = -40.

What is 8?

500

Find the x and y-intercepts of 3x+4y=24

What is (8,0) and (0,6)?

Slope-interceptform

100

This is the y-intercept in y = -3x - 1

What is -1?

200

This is the slope in y = (2/5)x - 9

What is 2/5?

300

Write the equation in slope intercept form: slope=0, y intercept =-5.  Make sure it is simplified.  

What is y=-5?

400

Transform 3x - 5y = 10 into slope-intercept form.

What is y = (3/5)x - 2?

500

Write the equation in slope-intercept form: slope=4 and (2,5) is on the line.

What is y=4x-3?