Math Language
Various Representations
Evaluate Functions
Math Explains Life
Function Equality
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) = x2 + 2, evaluate f(-3)
f(-3) = 11
100
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.
C(x) = 5x + 8
100
Find the point where the following functions intersect:
f(x) = x + 1
f(x) = -x + 1
(0, 1)
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 y = -12?
(2, -12)
200
Given that
g(x) = 8 - 2x + x2
evaluate g(-2).
g(-2) = 16
200
Beatrice 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?
p(g) = 2g - 60
200
Courtney pays $28 for a one month gym membership and has to pay $2 for every fitness class she takes.
Aaron pays a flat fee of $40 for his gym membership with no extra costs.
How many classes can Courtney take and still pay less than Aaron for his gym membership?
5
300
In a function, every input or x-value corresponds to how many outputs or y-values?
one
300
Given f(x) = -5x + 2 and a domain of {-1, 2, 4} what is the range?
{7, -8, -18}
300
Given
C(x) = \frac{3x}{4} - \frac{56}{x-1}
evaluate C(8).
C(8) = -2
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. A function M(g) can be used to represent 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
Joe and William 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
400
Where is the independent variable found on a graph?
the x-axis
400
What function is represented by the graph below?
f(x) = 6 - \frac{3}{2}x
400
Rewrite the following equation as a function of x.
2x + 4y = 16
f(x) = -\frac{1}{2}x +4
400
Mrs. 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 pay for the supplies and raise $250?
62 flags
400
A company has the monthly revenue and cost functions shown, such that x represents the number of products sold.
R(x) = 16x
C(x) = 12x + 1,424
At what number of products sold will the company break-even (the point where revenue equals cost)?
356 products
500
Where is the dependent variable found on a graph?
on the y-axis
500
Sketch or describe the graph that corresponds to
h(x)= -3|x+4|-1
500
Rewrite the equation as a function of x AND evaluate the function at x = -1:
6x^2-3y-18x=33
f(x) = 2x^2-6x-11
f(-1) = -3
500
Let a(x) be the amount of V-bucks remaining on Robert's account after purchasing x skins in the item shop.
a(x) = 6250 - 800x
If Robert wants to save 2200 V-bucks to spend on a bundle coming out soon, how many skins can he buy until then?
5 skins
500
Find the intersection point for the following linear functions.
f(x) = 2x + 3
g(x) = -4x − 27
(-5, -7)