What's that mean?
All the inputs or x-values included in a function are called the ______________
Domain
(4, 6)
Given f(x) = x + 2, evaluate f(0)
Write answer using function notation
f(0) = 2
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
Find the point or ordered pair where the following functions intersect:
f(x) = x + 1
f(x) = -x + 1
(0, 1)
All the outputs or y-values in a function are called the _________
Range
Given f(x) = -3x - 6, what point on the coordinate plane corresponds to x = 2?
(2, -12)
Given g(x) = 2x + 8, evaluate g(-2).
Write answer using function notation.
g(-2) = 4
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
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
one
Given f(x) = x + 2 and a domain of {1,4} what is the range?
{3, 6}
Given C(x) = .5x - 6, evaluate C(12)
Write answer using function notation.
C(12) = 0
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
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
Where is the independent variable found on a graph?
the x-axis
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)
Rewrite the following equation as a function of x.
2x + y = 16
Write answer using function notation.
f(x) = -2x + 16
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
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
Where is the dependent variable found on a graph?
on the y-axis
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)
Rewrite the following as a function of x.
6x + 2y = 12
Write answer using function notation.
f(x) = -3x + 6
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
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
(-5, -7)