Evaluate and graph an exponential function

Grade 9 Math Worksheet

NameDate

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

  1. Luz's tile art starts with 5 tiles, and each round splits every tile into 4. After x rounds there are f(x) = 5 · 4^x tiles. What is f(3)?

  2. Milo draws a branching tree with f(x) = 3 · 5^x tips after x rounds. What is f(3)?

  3. Tala's homework rule is h(x) = 6 · 2^x. What is h(-2)?

  4. Zee's map-zoom rule is f(x) = 54 · 3^x. What is f(-3)?

  5. Ari plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

    • y = 3 · 2^x
    • y = 6 · 2^x
    • y = 2 · 3^x
    • y = 3x + 3
  6. Esme plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

    • y = 5x + 5
    • y = 2 · 5^x
    • y = 5 · 2^x
    • y = 10 · 2^x
  7. Jun plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

    • y = 5 · 2^x
    • y = 2 · 5^x
    • y = 8x + 2
    • y = 10 · 5^x
  8. Kira studies f(x) = 5 · 2^x. What is the range of f?

    • y ≥ 5
    • y ≥ 0
    • y > 0
    • all real numbers
  9. Luz studies g(x) = 3 · 4^x. What is the range of g?

    • all real numbers
    • y ≥ 3
    • y > 0
    • y ≥ 0
  10. Pia studies f(x) = 4 · 5^x in math club. What is the domain of f?

    • x ≥ 0, because the inputs start at zero
    • all real numbers
    • y > 0
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Evaluate and graph an exponential function

Answer Key - Grade 9 Math Worksheet

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

  1. Luz's tile art starts with 5 tiles, and each round splits every tile into 4. After x rounds there are f(x) = 5 · 4^x tiles. What is f(3)?

    320
  2. Milo draws a branching tree with f(x) = 3 · 5^x tips after x rounds. What is f(3)?

    375
  3. Tala's homework rule is h(x) = 6 · 2^x. What is h(-2)?

    3/2
  4. Zee's map-zoom rule is f(x) = 54 · 3^x. What is f(-3)?

    2
  5. Ari plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

    • y = 3 · 2^x
    • y = 6 · 2^x
    • y = 2 · 3^x
    • y = 3x + 3
  6. Esme plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

    • y = 5x + 5
    • y = 2 · 5^x
    • y = 5 · 2^x
    • y = 10 · 2^x
  7. Jun plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

    • y = 5 · 2^x
    • y = 2 · 5^x
    • y = 8x + 2
    • y = 10 · 5^x
  8. Kira studies f(x) = 5 · 2^x. What is the range of f?

    • y ≥ 5
    • y ≥ 0
    • y > 0
    • all real numbers
  9. Luz studies g(x) = 3 · 4^x. What is the range of g?

    • all real numbers
    • y ≥ 3
    • y > 0
    • y ≥ 0
  10. Pia studies f(x) = 4 · 5^x in math club. What is the domain of f?

    • x ≥ 0, because the inputs start at zero
    • all real numbers
    • y > 0