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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