Algebra Functions Jeopardy

Function Notation

100

If f(x)=2x+5, find f(3).

11

200

If g(x)=x²+3x, find g(−2).

-2

300

If h(x)=3x²−2x+1, find h(4).

41

400

If f(x)=5x−8, what value of x makes f(x)=17?

5

500

If f(x)=2x²−3x+4, find f(−3)+f(2).

37

Is It a Function?

100

Is the relation {(1,2),(2,4),(3,6)} a function? Explain

Yes. Each input has exactly one output.

200

Is the relation {(1,5),(2,5),(1,7)} a function? Explain 

No. The input 1 has two different outputs

300

Which relation is a function? 

A: {(1,2),(1,3)}or B: {(1,2),(2,3)}

B

400

What test can you use on a graph to determine whether it represents a function?

The Vertical Line Test

500

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.

Real-World Domain

100

A movie ticket costs $12. If x represents the number of tickets purchased, what type of numbers make up the domain?

Nonnegative whole numbers

200

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.

300

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

400

A water tank holds 500 gallons and loses 8 gallons per minute. What is a reasonable domain for time t?

Non-Negative Integers

500

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

Rate or Constant?

100

In y=4x+7, what is the rate?

4

200

In y=4x+7, what is the constant?

7

300

A babysitter earns $15 per hour plus a $10 fee. What is the rate? Include Units!

15$ per hour

400

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

500

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

🎉 Fun Math!

100

How many sides does a hexagon have?

6

200

What is the only planet in our solarsystem that rotates clockwise?

Venus

300

What is the largest mammal on Earth?

Blue Whale

400

What is the approximate value of πto the nearest hundredth?

3.14

500

I'm thinking of a number. I multiply it by 3 and then subtract 7. My answer is 20. What is my number?

9