Evaluate and graph an exponential function
Grade 9 Math Worksheet

Circle the best answer, or write your answer on the line.
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)?
Milo draws a branching tree with f(x) = 3 · 5^x tips after x rounds. What is f(3)?
Ren's math-club rule is g(x) = 75 · 5^x. What is g(-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 = 3x + 3
- y = 6 · 2^x
- y = 3 · 2^x
- y = 2 · 3^x
Bo plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?
Graph: dots at (0, 4), (1, 12), (2, 36), (3, 108), 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, 4), (1, 12), (2, 36), (3, 108), joined by a curve that rises faster and faster to the right and flattens toward the x-axis on the left. −1 1 2 3 4 0 20 40 60 80 100 120 The curve rises faster and faster to the right and flattens toward the x-axis on the left. - y = 8x + 4
- y = 4 · 3^x
- y = 3 · 4^x
- y = 12 · 3^x
Jun plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?
Graph: dots at (0, 2), (1, 10), (2, 50), (3, 250), 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, 2), (1, 10), (2, 50), (3, 250), joined by a curve that rises faster and faster to the right and flattens toward the x-axis on the left. −1 1 2 3 4 0 50 100 150 200 250 - y = 8x + 2
- y = 10 · 5^x
- y = 2 · 5^x
- y = 5 · 2^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
- x = 0
- y = 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?
- y = 0
- x = 0
- y = 8
Ren studies g(x) = 10 · 2^x in math club. What is the domain of g?
- x ≥ 0
- y > 0
- all real numbers