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. Noah's class phone tree reaches f(x) = 6 · 3^x new families in round x. What is f(4)?

  3. A science video in Pia's class models f(x) = 48 · 2^x bacteria x hours after noon. What is f(-3), the count 3 hours before noon?

  4. Ren's math-club rule is g(x) = 75 · 5^x. What is g(-2)?

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

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

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

    • y = 3 · 4^x
    • y = 12 · 3^x
    • y = 4 · 3^x
    • y = 8x + 4
  8. Esme plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

    • y = 10 · 2^x
    • y = 5x + 5
    • y = 2 · 5^x
    • y = 5 · 2^x
  9. Luz studies g(x) = 3 · 4^x. What is the range of g?

    • y ≥ 3
    • all real numbers
    • y ≥ 0
    • y > 0
  10. Ren studies g(x) = 10 · 2^x in math club. What is the domain of g?

    • all real numbers
    • x ≥ 0
    • 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. Noah's class phone tree reaches f(x) = 6 · 3^x new families in round x. What is f(4)?

    486
  3. A science video in Pia's class models f(x) = 48 · 2^x bacteria x hours after noon. What is f(-3), the count 3 hours before noon?

    6
  4. Ren's math-club rule is g(x) = 75 · 5^x. What is g(-2)?

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

    3/2
  6. Ari plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

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

    • y = 3 · 4^x
    • y = 12 · 3^x
    • y = 4 · 3^x
    • y = 8x + 4
  8. Esme plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

    • y = 10 · 2^x
    • y = 5x + 5
    • y = 2 · 5^x
    • y = 5 · 2^x
  9. Luz studies g(x) = 3 · 4^x. What is the range of g?

    • y ≥ 3
    • all real numbers
    • y ≥ 0
    • y > 0
  10. Ren studies g(x) = 10 · 2^x in math club. What is the domain of g?

    • all real numbers
    • x ≥ 0
    • y > 0