Math Problem Statement

Evaluate the exponential function f (x) = 3x when x = 9.

Solution

To evaluate the exponential function f(x)=3xf(x) = 3^x when x=9x = 9, we substitute x=9x = 9 into the function.

f(9)=39f(9) = 3^9

Now, let's calculate 393^9:

39=196833^9 = 19683

Thus, f(9)=19683f(9) = 19683.

If you need further details or have additional questions, feel free to ask!

Related Questions:

  1. How do you evaluate an exponential function for other values of xx?
  2. What are the properties of exponential functions?
  3. How would you graph the function f(x)=3xf(x) = 3^x?
  4. How does the function f(x)=3xf(x) = 3^x compare to other exponential functions like f(x)=2xf(x) = 2^x?
  5. What happens to f(x)=3xf(x) = 3^x as xx approaches negative infinity?

Tip:

Exponential functions grow very quickly. For large values of xx, the output increases significantly.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponential Functions
Powers and Exponents

Formulas

f(x) = 3^x

Theorems

Properties of Exponents

Suitable Grade Level

Grades 9-11