# Evaluate Exponential Functions Worksheet

## 6 problems

To evaluate exponential functions, substitute the given value of the variable into the function and calculate the result. For instance, in $$f(x) = a \cdot b^x$$, replace $$x$$ with the specific number and compute $$b^x$$ before multiplying by $$a$$. An evaluate exponential functions worksheet provides practice problems, while an evaluate exponential functions pdf offers a downloadable resource for offline study and reference.

Algebra 2
Exponential Functions

## How Will This Worksheet on "Evaluate Exponential Functions" Benefit Your Student's Learning?

• Working through exponential functions helps students solve problems more effectively by practicing step-by-step calculations.
• Evaluating these functions improves students' ability to think carefully and logically.
• Regularly practicing with exponential functions makes students better at using exponents and doing math calculations.
• The precise calculations required for these functions teach students accuracy and attention to detail.
• Exponential functions are useful in real life, like understanding population growth, radioactive decay, and interest rates.

## How to Evaluate Exponential Functions?

• Recognize the function in the form $$f(x) = a \cdot b^x$$, where $$a$$ is a constant, $$b$$ is the base, and $$x$$ is the exponent.
• Replace the variable $$x$$ with the specified value provided in the problem. For example, if you need to evaluate $$f(3)$$, substitute 3 for $$x$$.
• Calculate the value of the base $$b$$ raised to the power of the substituted value.
• Multiply the result from the exponentiation by the coefficient $$a$$.

## Solved Example

Q. Use the following function rule to find $f(1)$.$\newline$$f(x) = 12(7)^x + 8$
Solution:
1. Plug in $x$ in function: Plug in $1$ for $x$ in the function $f(x) = 12(7)^x + 8$.$\newline$$f(1) = 12(7)^1 + 8$
2. Calculate $12$ times $7$: Calculate $12$ times $7$.$\newline$$12 \times 7 = 84$
3. Add $84$ to $8$: Add $84$ to $8$. $\newline$$84 + 8 = 92$

### What teachers are saying about BytelearnWhat teachers are saying

Stephen Abate
19-year math teacher
Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher
Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal
Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”