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Equality
100

All the inputs or x-values included in a function are called the ______________

Domain

100
Given f(x) = x + 2, what point on the coordinate plane corresponds to x = 4?

(4, 6)

100

Given f(x) = x + 2, evaluate f(0)

Write answer using function notation

f(0) = 2

100

Ms. Bowles wants to buy pizza for everyone who has a current GPA over 3.0. If each pizza (x) costs \$5 and there is a delivery fee of \$8, write a function to represent the cost of the order.

f(x) = 5x + 8

100

Find the point or ordered pair where the following functions intersect:

f(x) = x + 1

f(x) = -x + 1

(0, 1)

200

All the outputs or y-values in a function are called the _________

Range

200

Given f(x) = -3x - 6, what point on the coordinate plane corresponds to x = 2?

(2, -12)

200

Given g(x) = 2x + 8, evaluate g(-2).

Write answer using function notation.

g(-2) = 4

200

Betty sets up a lemonade stand and charges \$2 per glass. It cost her \$60 to set up the stand. Which function gives the profit, p, she makes by selling g glasses of lemonade?

The number of glasses of lemonade, g, that Betty needs to sell to make a profit, p, if the setup cost her \$60 is given by the function p(g) = ?

p(g) = 2g - 60

200

Company A manufactures and sells gidgets. The owners have determined that the company has the monthly revenue and cost functions shown, such that x represents the number of gidgets sold.

R(x) = 16x
C(x) = 12x + 1,424

At what number of gidgets sold will the company break-even (the point where revenue equals cost)?

356 gidgets

300
In a function, every input or x-value corresponds to how many outputs or y-values?

one

300

Given f(x) = x + 2 and a domain of {1,4} what is the range?

{3, 6}

300

Given C(x) = .5x - 6, evaluate C(12)

Write answer using function notation.

C(12) = 0

300

Danny's truck has a fuel tank with a capacity of 20 gallons of gas. The truck averages 17 miles per gallon of gas. The function M(g) = 17g represents the number of miles that Danny's truck travels on g gallons of gas. What domain and range are reasonable for the function?

D: 0 ≤ g ≤ 20
R: 0 ≤ M(g) ≤ 340

300

Joe and Will both work as cooks at Burger Palace. Each prepares hamburgers at a different speed, as shown by the functions below:

J(b) = 14b + 7
W(b) = 7b + 42

where b represents the number of hamburgers cooked and J(b) and W(b) represent the amount of time each cook takes in minutes. At what value of b will their cooking time be equivalent?

b = 5

400

Where is the independent variable found on a graph?

the x-axis

400

Given f(x) = -2x - 2 and a domain of {0,1,2} find the range and plot the points on a coordinate plane.

Must write each coordinate.

(0,-2), (1,-4), (2, -6)

400

Rewrite the following equation as a function of x.

2x + y = 16

Write answer using function notation.

f(x) = -2x + 16

400

Ms. Hall wants to sell flags to raise money to visit historical sites. She spends \$60 on supplies to make the flags. If she sells each flag for \$5, how many flags will she need to sell to break even?

12 flags

400

Harry pays \$28 for a one month gym membership and has to pay \$2 for every fitness class he takes.

Joe pays a flat fee of \$40 for his gym membership with no extra costs.

How many classes can Harry take and still pay less than Joe for his gym membership?

5

500

Where is the dependent variable found on a graph?

on the y-axis

500

Given f(x) = -.5x - 2 and a domain of {-2, 0, 2} find the range and plot the points on a coordinate plane.

Must write each coordinate.

(-2, -1), (0,-2), (2, -3)

500

Rewrite the following as a function of x.

6x + 2y = 12

Write answer using function notation.

f(x) = -3x + 6

500

Let a(x) be the amount of money remaining on Hillary's gift card after purchasing x apps on her phone.

a(x) = 50-1.25x

How much money will Hillary have left on her gift card if she purchases 4 apps?

\$45

500

Find the intersection point for the following linear functions.

f(x) = 2x + 3
g(x) = -4x − 27

(-5, -7)