Evaluate and graph an exponential function
Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.
Milo draws a branching tree with f(x) = 3 · 5^x tips after x rounds. What is f(3)?
Noah's class phone tree reaches f(x) = 6 · 3^x new families in round x. What is f(4)?
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?
Tala's homework rule is h(x) = 6 · 2^x. What is h(-2)?
Zee's map-zoom rule is f(x) = 54 · 3^x. What is f(-3)?
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
Esme plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?
Graph: dots at (0, 5), (1, 10), (2, 20), (3, 40), joined by a curve that rises faster and faster to the right and flattens toward the x-axis on the left. Graph: dots at (0, 5), (1, 10), (2, 20), (3, 40), joined by a curve that rises faster and faster to the right and flattens toward the x-axis on the left. −2 −1 1 2 3 4 0 5 10 15 20 25 30 35 40 45 - y = 10 · 2^x
- y = 5 · 2^x
- y = 5x + 5
- y = 2 · 5^x
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
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
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