Piecewise and step functions: evaluate and graph

Answer Key - Grade 9 Math Worksheet - Challenge Me

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

1. 1.

   Esme's cat game scores f(x) = |x − 3| + 1. What is f(−2)?

   6
2. 2.

   Kira's frog game scores f(x) = |x − 4| + 2. What is f(−1)?

   7
3. 3.

   Luz's turtle game scores f(x) = |x + 1| − 3. What is f(−8)?

   4
4. 4.

   Milo's bus fare is f(x) = 2x + 1 when x < 3 and f(x) = x + 8 when x ≥ 3. How big is the jump at x = 3, right minus left?

   4
5. 5.

   Noah's ball height is f(x) = 3x when x < 2 and f(x) = x + 7 when x ≥ 2. How big is the jump at x = 2, right minus left?

   3
6. 6.

   Pia's sled speed is f(x) = x + 9 when x ≤ 4 and f(x) = 2x when x > 4. How big is the jump at x = 4, right minus left?

   -5
7. 7.

   Tala's robot follows f(x) = x + 2 when x < 4 and f(x) = 3x − 6 when x ≥ 4. For which x is f(x) = 12?

   6
8. 8.

   Zee's bakery follows f(x) = 2x when x ≤ 5 and f(x) = x + 10 when x > 5. For which x is f(x) = 18?

   8
9. 9.

   Ari's swing follows f(x) = 10 − x when x < 2 and f(x) = 4x − 1 when x ≥ 2. For which x is f(x) = 7?

   2
10. 10.

    Bo's game follows f(x) = 4x − 3 when x ≤ 3 and f(x) = 15 − x when x > 3. For which x is f(x) = 11?

    4