Graphs
What is it?
Notation
100
f(2) = ?
f(2) = 0
100
WHY are the following rules functions? Write your response!
Because they each have one input and one output.
100
A medium pizza costs $15. Each topping costs $2. Which is the correct function notation to represent the cost of buying a pizza? Write the correct equation!
a.) m(x) = 15 + 2
b.) m(x) = 15x + 2
c.) m(x) = 15 + 2x
c.) m(x) = 15 + 2x
200
f(2) = __________
f(2) = 0 at the point (2,0)
200
Is it a function? Write yes or no & explain why!
Yes. The output is a whole integer that the input rounds to. Therefore since there is one output for each input it is a function.
200
If x represents the width of the base, in inches, what does the function statement h(x) = 2x +3 mean? Write your response!
The height of the toy is 2 times the width of the base, in inches, plus 3 inches.
300
f(-2) = f (____)
f(-2) = f(2)
f(-2) = 0 and f(2) = 0
300
Write a reason why rule E is NOT a function.
Rule E is not a function because 1200 give two different outputs - 30 and 10 and to be a function an input can only have one output.
300
The function b(t) gives the depth of the water, in inches, t minutes after Tyler begins to fill the bathtub.
What does b(0) = 0 mean? Write your response!
b(0) = 0 means that 0 minutes have passed and the height of the water in the bathtub is 0 inches.
400
f(____) = 3? (hint: two solutions are required). Write your responses using function notation!
f(5) = 3 and f(-5) = 3
400
Write the missing output. (Do not copy the table.)
10
The rule is to use the first letter of the input word to determine its place in the alphabet and J is the 10th letter of the alphabet.
400
At a toy store g(x) represents the cost of a gorilla. A gorilla with nothing added costs $15. Each additional accessory costs $3.
Write an equation for a stuffed gorilla with accessories: g(x) =
What is the value of g(4)?
g(x) = 15 + 3x
g(4) = 15 + 3(4) = 27
A stuffed gorilla with 4 accessories will cost $27.
500
Write two function notation statements that are true for 𝑔(𝑥).
Two possible solutions are:
g(3) = 0
g(0) = 3
500
Is it a function? Write yes or no and explain why!
Yes. It is a function because each letter of the output is one letter further in the alphabet than the one used in the input. Therefore there is a single output for each input.
500
𝑓(𝑥) = –15𝑥 + 80 𝑔(𝑥) = 10𝑥 + 25
Which is greater: 𝑓(3) or 𝑔(3)? Show your work!
f(3) = -15(3) + 80 = -45 + 80 = 35
g(3) = 10(3) + 25 = 30 + 25 = 55
35 < 55 therefore g(3) is greater