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. Ren's math-club rule is g(x) = 75 · 5^x. What is g(-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 = 3x + 3
    • y = 6 · 2^x
    • y = 3 · 2^x
    • y = 2 · 3^x
  6. Bo plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?

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

    • y = 8x + 2
    • y = 10 · 5^x
    • y = 2 · 5^x
    • y = 5 · 2^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
    • x = 0
    • y = 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?

    • y = 0
    • x = 0
    • y = 8
  10. Ren studies g(x) = 10 · 2^x in math club. What is the domain of g?

    • x ≥ 0
    • y > 0
    • all real numbers
PencilGopencilgo.com

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

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

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

    • y = 8x + 2
    • y = 10 · 5^x
    • y = 2 · 5^x
    • y = 5 · 2^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
    • x = 0
    • y = 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?

    • y = 0
    • x = 0
    • y = 8
  10. Ren studies g(x) = 10 · 2^x in math club. What is the domain of g?

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