All the inputs or x-values included in a function are called the ______________
Domain
(4, 6)
Given f(x) = x + 2, evaluate f(0)
f(0) = 2
Sam rode in a hot air balloon. The balloon ascended for 10 minutes, stayed at a constant height above the ground for 20 minutes, and then gradually descended back to the ground. What is the independent variable?
Time from when the balloon left the ground.
Given f(x) = x + 17, find x when f(x) = 17
x = 0
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).
g(-2) = 4
Sam rode in a hot air balloon. The balloon ascended for 10 minutes, stayed at a constant height above the ground for 20 minutes, and then gradually descended back to the ground. What is the dependent variable?
Height of the hot air balloon above the ground
Given f(x) = 3x - 3, find x when f(x) = 3
x = 2
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)
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 is the domain for the function?
D: 0 ≤ g ≤ 20
Given f(x) = 0.5x + 10, find x when f(x) = 300
x = 580
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.
{-2, -4, -6}
Solve for y.
2x + y = 16
y = -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
Given f(x) = x, find x when f(x) = 3.14
x = 3.14
Where is the dependent variable found on a graph?
on the y-axis
Given f(x) = -0.5x - 2 and a domain of {-2, 0, 2} find the range.
{-1, -2, -3}
Solve for y.
6x + 2y = 12
y = -3x + 6
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
Given f(x) = 0.4x, find x when f(x) = 8
x = 20