Evaluate and graph an exponential function
Grade 9 Math Worksheet
Circle the best answer, or write your answer on the line.
Kira cuts 2 paper squares, then cuts every piece into 3, again and again. After x rounds there are f(x) = 2 · 3^x pieces. What is f(4)?
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)?
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 = 6 · 2^x
- y = 2 · 3^x
- y = 3x + 3
- y = 3 · 2^x
Jun plots points from a pattern that multiplies by the same factor each step. Which function matches the graph?
- y = 10 · 5^x
- y = 8x + 2
- y = 2 · 5^x
- y = 5 · 2^x
Luz studies g(x) = 3 · 4^x. What is the range of g?
- y ≥ 3
- all real numbers
- y > 0
- y ≥ 0
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