Function Notation
If f(x)=2x+5, find f(3).
11
Is the relation {(1,2),(2,4),(3,6)} a function? Explain
Yes. Each input has exactly one output.
A movie ticket costs $12. If x represents the number of tickets purchased, what type of numbers make up the domain?
Nonnegative whole numbers
In y=4x+7, what is the rate?
4
How many sides does a hexagon have?
6
If g(x)=x2+3x, find g(−2).
-2
Is the relation {(1,5),(2,5),(1,7)} a function? Explain
No. The input 1 has two different outputs
A car travels 30 miles per gallon. If x represents gallons of gas used, can x=2.5be in the domain?
Yes. Gas used can be a decimal.
In y=4x+7, what is the constant?
7
What is the only planet in our solarsystem that rotates clockwise?
Venus
If h(x)=3x2−2x+1, find h(4).
41
Which relation is a function?
A: {(1,2),(1,3)}or B: {(1,2),(2,3)}
B
A movie theater has 250 seats. If xrepresents the number of tickets sold, what is a reasonable domain for x?
Whole numbers from 0 to 250
A babysitter earns $15 per hour plus a $10 fee. What is the rate? Include Units!
15$ per hour
What is the largest mammal on Earth?
Blue Whale
If f(x)=5x−8, what value of x makes f(x)=17?
5
What test can you use on a graph to determine whether it represents a function?
The Vertical Line Test
A water tank holds 500 gallons and loses 8 gallons per minute. What is a reasonable domain for time t?
Non-Negative Integers
A phone plan costs $40 plus $0.10 per text. What is the rate and what is the constant?
Rate = $0.10 per text; constant = $40
What is the approximate value of πto the nearest hundredth?
3.14
If f(x)=2x2−3x+4, find f(−3)+f(2).
37
Create a relation with at least 3 ordered pairs that is NOT a function. Explain why.
Answers will vary. The relation must have at least one input paired with two different outputs.
A concert has 1,200 seats. If x represents the number of tickets sold, what is the reasonable domain?
Whole numbers from 0 to 1,200
A delivery service charges $8 plus$1.75 per mile. Write a function and identify the rate and constant.
C(x)=1.75x+8; rate = $1.75 per mile; constant = $8
I'm thinking of a number. I multiply it by 3 and then subtract 7. My answer is 20. What is my number?
9