Exponential Functions & Their Graphs (Year 11)
Free printable Year 11 Mathematical Methods worksheet on exponential functions: evaluating, index laws, solving equations, growth and decay, and graphs (ACMMM064-067).
✓ Answer key checked by math, never wrong
Year 11 · Math worksheet
Name
Date
Math
Functions: Exponential Functions & Their Graphs
Evaluate exponential functions, apply the index laws, solve exponential equations, model growth and decay, and read the graph of y = a^x. (ACARA Mathematical Methods Unit 2: ACMMM064-067.)
- 1.For f(x) = , evaluate f(-2).
- 2.For f(x) = , evaluate f(3).
- 3.For f(x) = , evaluate f(-2).
- 4.For f(x) = , evaluate f(0).
- 5.Simplify / as a single power of 2.
- 6.Simplify as a single power of 5.
- 7.Simplify as a single power of 3.
- 8.Solve = 9 for x.
- 9.Solve = 81 for x.
- 10.A radioactive sample of 100 mg halves every year: A(t) = 100 x . How much remains after 3 year(s)?
- 11.A colony of 800 bacteria doubles every hour: P(t) = 800 x . How many are there after 2 hour(s)?
- 12.Sketch y = . Use the graph to state the y-intercept and the equation of the horizontal asymptote.
The curve rises steeply to the right and flattens towards the x-axis, its horizontal asymptote at y = 0.
Made with ChalkBee · chalkbee.com