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Functions and Relations Quiz
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Functions and Relations Quiz
Help a community fair check its rules and number patterns. Answer each question. Show your work when asked.
Function or relation?
Use the input-output tables and your understanding of functions.
Input x
Output y
1
4
2
7
3
10
1.Table A shows a relation between x and y. Is it a function? Explain what feature of the table supports your answer.
Ticket x
Prize y
1
2
1
5
3
8
2.Does Table B represent a function? Explain why or why not.
3.Which ordered pair in Table B shows that the input 1 has the output 5?
- (1, 2)
- (1, 5)
- (3, 8)
- (5, 1)
Rules and real-world functions
Substitute values carefully and describe how quantities are related.
4.A snack stand models the cost of buying x pretzels with the function C(x) = 3x + 2, where C is in dollars. What is C(4)?
- $10
- $12
- $14
- $20
5.A ride-share trip costs a $4 starting fee plus $2 per mile. Write a function R(m) for the cost of a trip of m miles.
6.Use the function f(x) = 5x − 6. Find f(3), showing the substitution and calculation.
7.For f(x) = x² − 1 with domain {−2, −1, 0, 1, 2}, find the range. List each output only once.
8.A square has side length s centimeters. Its perimeter is P(s) = 4s. What is the perimeter when s = 6 cm?
9.True or false: In a function, one input may correspond to two different outputs, as long as those outputs are different.
TrueFalse
10.A function follows the rule y = 2x + 1. Complete the missing output when x = 4, then explain how you found it.
2 printable pages
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