Piecewise and step functions: evaluate and graph

Answer Key - Grade 9 Math Worksheet

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

1. 1.

   Esme's rocket height is f(x) = 3x − 1 when x ≤ 4 and f(x) = 2x + 3 when x > 4. What is f(6)?

   15
2. 2.

   Jun's bakery sells f(x) = x + 5 when x < 2 and f(x) = 4x when x ≥ 2. What is f(2)?

   8
3. 3.

   Kira's swing height is f(x) = 10 − x when x < 5 and f(x) = 2x when x ≥ 5. What is f(3)?

   7
4. 4.

   Luz's robot score is f(x) = 2x when x ≤ −1 and f(x) = x + 6 when x > −1. What is f(−3)?

   -6
5. 5.

   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?

   $8
6. 6.

   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?

   $2
7. 7.

   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?

   $12
8. 8.

   Zee's kite path jumps. What is f(4)?

   1
9. 9.

   “each square is one unit” Ari's sled path jumps. What is f(1)?

   2
10. 10.

    Bo's tent path jumps. What is f(3)?

    7