Evaluate and graph an exponential function

Grade 9 Math Worksheet

NameDate

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

  1. Milo draws a branching tree with f(x) = 3 · 5^x tips after x rounds. 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. Tala's homework rule is h(x) = 6 · 2^x. What is h(-2)?

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

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

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

    • y = 10 · 2^x
    • y = 5 · 2^x
    • y = 5x + 5
    • y = 2 · 5^x
  8. Milo graphs f(x) = 6 · 3^x. As x gets more and more negative, the graph gets closer and closer to a line. Which line?

    • y = 6
    • y = 0
    • x = 0
  9. Noah graphs h(x) = 8 · 2^x. As x gets more and more negative, the graph gets closer and closer to a line. Which line?

    • x = 0
    • y = 0
    • y = 8
  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
    • y > 0
    • all real numbers
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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. Milo draws a branching tree with f(x) = 3 · 5^x tips after x rounds. What is f(3)?

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

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

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

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

    • y = 10 · 2^x
    • y = 5 · 2^x
    • y = 5x + 5
    • y = 2 · 5^x
  8. Milo graphs f(x) = 6 · 3^x. As x gets more and more negative, the graph gets closer and closer to a line. Which line?

    • y = 6
    • y = 0
    • x = 0
  9. Noah graphs h(x) = 8 · 2^x. As x gets more and more negative, the graph gets closer and closer to a line. Which line?

    • x = 0
    • y = 0
    • y = 8
  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
    • y > 0
    • all real numbers