2A. Exponential and Logarithmic Functions
United States of America
AP Precalculus
2.4 Exponential function manipulation
Interactive practice questions
Consider the function $y=\left(\frac{1}{2}\right)^x$y=(12)x
a
Which two functions are equivalent to $y=\left(\frac{1}{2}\right)^x$y=(12)x ?
$y=\frac{1}{2^x}$y=12x
A
$y=2^{-x}$y=2−x
B
$y=-2^x$y=−2x
C
$y=-2^{-x}$y=−2−x
D
b
Sketch a graph of $y=2^x$y=2x on the coordinate plane.
Loading Graph...
c
Using the result of the first part, sketch $y=\left(\frac{1}{2}\right)^x$y=(12)x on the same coordinate plane.
Loading Graph...
Medium
3min
Consider the graph of $y=5^x$y=5x.
Medium
2min
Consider a graph of $y=9^{\frac{x}{2}}$y=9x2.
Medium
1min
Consider a graph of $y=3^{2x+3}$y=32x+3.
Medium
1min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account