Graphs
Equations
Tables
Contexts
What does it mean?
100
f(x)=6, x =
The output (y) is 6, so the input is 8.
100
Using the equations below, evaluate g(3).
You plug in 3 for the x (input), so
g(3) = 2(3) + 1
= 7
100
Evaluate f(10) =
10 is the input, so the output is 5.
100
Mendy wanted a moped. She had $250 saved already, but then she made $45 a day tutoring. Her equation was M(x)=250 + 45x.
Interpret M(3).
How much money would Mendy have after 3 days of tutoring?
100
A candy store opened and all the candy is the same price. The f(x) gives the price of x ounces of candy.
What does f(4) = 1 tell you?
It costs $1 to buy 4 ounces of candy.
200
f(x) = 2, so x =
The output (y) is 2, so the input is 0.
200
Given the functions below, evaluate f(x) = 23, x =
It's telling you that the output is 23, so plug in 23 for f(x), and you get
23 = 5 - 6x
-5 -5
___________
28 = -6x
x = -3
200
Evaluate f(x) = 5, x =
5 is the output (y), so the input is 10.
200
Mendy wanted a moped. She had $250 saved already, but then she made $45 a day tutoring. Her equation was M(x)=250 + 45x.
Evaluate M(5).
That's 5 days of tutoring, so in your table you can look or plug 5 into the equation, so
M(5) = 250 + 45(5) = 475 dollars
200
Thanks to an online typing course, Cindy has become a faster typist. The function f(x) gives how many words she can type in x seconds.
What does f(45) = 68 tell you?
Cindy can type 68 words in 45 seconds.
300
f(x) = -1, x =
Does not exist! There's no graph there!
300
Joe baked holiday cookies. It cost him $30 for supplies and plans to sell the cookies for $3 each. Use function notation to write a rule that defines P, the profit, for selling, x cookies
P(x) = 3x-30
300
Evaluate f(1) =
1 is the input, so 6 is the output.
300
Mendy wanted a moped. She had $250 saved already, but then she made $45 a day tutoring. Her equation was M(x)=250 + 45x.
Write the function notation that would go with this question: "How much money did Mendy have after 12 days?"
12 days is the input, so
M(12)
300
At D-luxe Detailing, teams of employees carefully wash and detail customers' cars. The function f(x) gives the total number of hours they spend servicing x cars.
What does f(5) < 5 tell you?
The time spent servicing 5 cars is under 5 hours.
400
f(x) = 5, x =
When the output (y) is 5, then the input is 5 AND 7.
400
The ice cream parlor sells ice cream cones by the scoop. It costs $2 for the cone and $1.50 for each scoop. Use function notation to write a rule that defines the cost, C, for a cone with, x scoops of ice cream.
C(x) = 2 + 1.50x
400
Evaluate f(x) = 0, x =
When 0 is the output, then the input is -2 AND 6.
400
Mendy wanted a moped. She had $250 saved already, but then she made $45 a day tutoring. Her equation was M(x)=250 + 45x.
Write the function notation that would go with this question: "If Mendy had $1150, how many days had she been tutoring?"
$1150 is the output, so
M(x) = 1150, x =
400
Over summer break, Hanson needs to read a book for his English class. The function f(x) gives the total number of chapters he has read by day x of summer break.
What does f(12) = 24 tell you?
Hansen read 24 total chapters by day 12 of summer.
500
f(-4) =
The input (x) is 4, so the output is 3.
500
Using the equations below, evaluate h(0).
You plug in 0 for x (input) into the "h(x)" equation, so
h(0) = 4(0)
= 0
500
Evaluate f(x) = 4, x =
4 is the output, so the input is 8
500
Mendy wanted a moped. She had $250 saved already, but then she made $45 a day tutoring. Her equation was M(x)=250 + 45x.
Interpret M(x) = 430.
If Mendy has $430, how many days has she been tutoring?
500
In the spring, Lola plants sunflower in her backyard and keeps track of how tall they are.
The function f(x) gives their height in inches x days after they are planted.
What does f(90) > 55 tell you?
The plant is taller than 55 inches after 90 days.