Topics
6. Exponential & Logarithmic Functions
topic badge
United States of AmericaVirginia
Algebra 2

6.02 Applications of exponential functions

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

Consider the function $y=0.325\left(1-0.07\right)^x$y=0.325(1−0.07)x.

a

Is this an example of exponential growth or exponential decay?

Exponential growth

A

Exponential decay

B
b

State the initial amount.

c

Find the decay rate as a percentage.

Easy
2min

Consider the function $y=60.07\left(1.8\right)^x$y=60.07(1.8)x.

Easy
2min

Consider the function $y=39.4\left(0.3\right)^x$y=39.4(0.3)x.

Easy
2min

Consider the function $y=40000\left(4\right)^x$y=40000(4)x.

Easy
2min
Sign up to access Practice Questions
Get full access to our content with a Mathspace account
Book a Demo
Sign up for free

Outcomes

A2.F.2

The student will investigate and analyze characteristics of square root, cube root, rational, polynomial, exponential, logarithmic, and piecewise-defined functions algebraically and graphically.

A2.F.2a

Determine and identify the domain, range, zeros, and intercepts of a function presented algebraically or graphically, including graphs with discontinuities.

A2.F.2c

Determine the intervals on which the graph of a function is increasing, decreasing, or constant.

A2.F.2f

For any value, x, in the domain of f, determine f(x) using a graph or equation. Explain the meaning of x and f(x) in context, where applicable.

A2.F.2g

Describe the end behavior of a function.

A2.F.2h

Determine the equations of any vertical and horizontal asymptotes of a function using a graph or equation (rational, exponential, and logarithmic).

What is Mathspace

About Mathspace