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Characteristics of Functions

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)

f(0) = 2

100

Mr. Fosnick 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

If the graph provided increasing or decreasing?

increasing

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).

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

Describe where the graph is negative?

-4<x<4

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<x<4 what is the range?

3<y<6

300

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

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

Describe where the graph is positive and increasing.

-4<x<0

400

Where is a graph of a non-linear function negative?

Below the x-axis

400

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

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

400

Rewrite the following equation as a function of x.

2x + y = 16

f(x) = -2x + 16

400

Mrs. Hilton 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

Describe where the graph is increasing and where the graph is negative.

increasing: x>0

negative: -2<x<2

500

Describe how to determine if a graph is positive and decreasing?

The graph is above the x-axis and is going down

500

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

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

500

Rewrite the following as a function of x.

6x + 2y = 12

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.

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

$45

500

Describe where the graph is decreasing and non-linear

-5<x<-2