2. Functions and Graphs

Exponential Functions — Quiz

Test your understanding of exponential functions with 5 practice questions.

Practice Questions

Question 1

Which of the following describes the end behavior of the function $f(x) = -3^x$ as $x \to \infty$?

Question 2

A certain radioactive substance decays such that its mass halves every $7$ years. If you start with $200 \text{ g}$ of the isotope, what mass will remain after $21 \text{ years}$?

Question 3

The graph of an exponential function $f(x) = a \cdot b^x$ passes through the points $(0, 4)$ and $(2, 36)$. What are the values of $a$ and $b$?

Question 4

An investment of $$5,000$ earns interest at a rate of $8\% per annum, compounded semi-annually. Which equation represents the value of the investment $A$ after $t$ years?

Question 5

Solve for $x$ in the equation $$8^{x+2} = 16^{x-1}$$