Grade 9 · Math · Algebra 1

9th grade Piecewise and step functions: evaluate and graph worksheet

Q: Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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Piecewise and step functions: evaluate and graph

Grade 9 Math Worksheet

NameDate

Circle the best answer, or write your answer on the line.

Jun's bakery sells f(x) = x + 5 when x < 2 and f(x) = 4x when x ≥ 2. What is f(2)?
Kira's swing height is f(x) = 10 − x when x < 5 and f(x) = 2x when x ≥ 5. What is f(3)?
Luz's robot score is f(x) = 2x when x ≤ −1 and f(x) = x + 6 when x > −1. What is f(−3)?
Milo parks a car (the car is shy). A garage charges $3 for the first hour and $2 for each extra hour or part of an hour. What does 3.5 hours cost?
Noah rides a bus. A ride costs $4 for the first 2 miles and $1 for each extra mile or part of a mile. What does 5.2 miles cost?
Pia mails a letter. Postage is $1 for the first ounce and $0.50 for each extra ounce or part of an ounce. What does 2.4 ounces cost?
Ren rents a bike. It costs $6 for the first 30 minutes and $2 for each extra 10 minutes or part of 10 minutes. What does 55 minutes cost?
Tala's cloud path jumps. What is f(2)?
Zee's kite path jumps. What is f(4)?
Bo's tent path jumps. What is f(3)?

9th grade Piecewise and step functions: evaluate and graph worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Piecewise and step functions. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can choose the rule that fits the input and evaluate it.
I can read postage and parking steps, where "or part of" rounds up.
I can evaluate |x − 3| + 1, find the size of a jump, and solve f(x) = c with a condition.

Standard: F-IF.C.7b

Words to know

piecewise function: A function with different rules for different inputs.

condition: The test that says which inputs use a rule, like x ≥ 3.

step function: A piecewise function whose graph is a staircase.

closed dot, open dot: Included in the graph, or left out.

Common mistakes

Your child used the rule for the other input range.

Your child used both rules and added the answers.

Your child thought the number where the rule changes belongs to the second rule.

What to say

Ask: which rule does the number of the input belong to?

Ask: does an input follow one rule or both rules?

Ask: does the first condition use ≤ or <, and what does that mean for this number?

Questions parents ask

What is the most common mistake with piecewise and step functions: evaluate and graph?

Your child used the rule for the other input range.

How can I help my child with piecewise and step functions: evaluate and graph?

Ask: which rule does the number of the input belong to?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More algebra 1

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