Chapter 10: Exponential and Logarithmic Relations

Sketch the graph of the function $y=4{\left(\frac{1}{3}\right)}^x$. Then state the function’s domain and range.

Sketch the graph of the function $y=-{\left(\frac{1}{5}\right)}^x$. Then state the function’s domain and range.

Sketch the graph of the function $y=-2.5{\left(5\right)}^x$. Then state the function’s domain and range.

Determine whether the function $y=10{\left(3.5\right)}^x$represents exponential growth or decay.

Determine whether the function $y=2{\left(4\right)}^x$represents exponential growth or decay.

Determine whether the function $y=0.4{\left(\frac{1}{3}\right)}^x$represents exponential growth or decay.

Paul and Scott are solving ${\log }_{3}x=9$.

Who is correct? Explain your reasoning.

Match each function with its graph.

$y=5^x$

Determine whether the function $y=3{\left(\frac{5}{2}\right)}^x$represents exponential growth or decay.

Determine whether the function $y={30}^{-x}$represents exponential growth or decay.