For the exponential function f left parenthesis x right parenthesis equals 4 times 3 to the power of x, what is the value of f left parenthesis 2 right parenthesis?

To find the value of the function \( f(2) \) for the exponential function \( f(x) = 4 \times 3^x \), you simply need to substitute \( x = 2 \) into the function.

Here's the calculation:

\[
f(2) = 4 \times 3^2
\]

First, calculate \( 3^2 \):

\[
3^2 = 9
\]

Now, multiply by 4:

\[
f(2) = 4 \times 9 = 36
\]

So, the value of \( f(2) \) is \( 36 \).

Would you like more details or have any questions?

### Relative Questions:
1. How do you evaluate an exponential function at a given point?
2. What is the general form of an exponential function?
3. How does the base of the exponent affect the growth of the function?
4. How would you find \( f(0) \) for the function \( f(x) = 4 \times 3^x \)?
5. What is the impact of changing the coefficient (4) in the function \( f(x) = 4 \times 3^x \)?

### Tip:
Always perform the exponentiation before multiplication when evaluating an exponential function.

Learn how to evaluate the exponential function f(x) = 4 * 3^x at x = 2 with detailed step-by-step calculation. Understand the impact of the base and coefficient in exponential growth. Suitable for Grades 10-12 students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation