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
Mrs. Manzone wants to buy pizza for everyone who has a current GPA over B+. If each pizza (x) costs $5 and there is a delivery fee of $8, write a function to represent the cost of the order. Must be written with function notation.
f(x) = 5x + 8
Is the following graph discreet or continous?
Continous
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
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
Ahnah records the daily high temperatures in Fahrenheit for her hometown of Juneau, Alaska, for one week in May.
Would this represent a discreet or continuous function?
Discreet
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 domain and range are reasonable for the function?
D: 0 ≤ g ≤ 20
R: 0 ≤ M(g) ≤ 340
Is the following function linear or nonlinear?
y = –2x² + 5x – 3
Nonlinear
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.
(0,-2), (1,-4), (2, -6)
Range: -2,-4, -6
Rewrite the following equation as a function of x.
2x + y = 16
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
Identify the independent and dependent variable based on the graph
Dependent: Speed
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 write your answer as points.
(Hint: (x,y))
(-2, -1), (0,-2), (2, -3)
Rewrite the following as a function of x.
6x + 2y = 12
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
Answer the following questions about the graph below
1. Does this graph have line symmetry? If so, at what value for x does it have symmerty?
2. Estimate all the x-intercepts
1. Yes, at x=1
2. (-2,0)(1,0)(2,0)(4,0)