Math Problem Statement

use a graph to find the zeros of the function f(x)= 2^x - 5

Solution

The graph of the function f(x)=2x5f(x) = 2^x - 5 crosses the x-axis at approximately x=2.32x = 2.32. This is the zero of the function, meaning f(2.32)=0f(2.32) = 0.

Would you like more details on how to solve this equation algebraically, or do you have any other questions?


Related questions:

  1. How would you find the zeros of f(x)=3x7f(x) = 3^x - 7 graphically?
  2. Can you solve 2x=72^x = 7 algebraically?
  3. What are the steps to find the intersection of y=2xy = 2^x and y=5y = 5 using a graph?
  4. How do you find the zeros of a quadratic function using a graph?
  5. How would you determine the vertex of f(x)=2x5f(x) = 2^x - 5 graphically?
  6. What is the general method for finding zeros of exponential functions?
  7. How can you estimate zeros of a function if they are not easy to find algebraically?
  8. How does the base of an exponential function affect its graph and zeros?

Tip: When graphing to find zeros, the point where the graph crosses the x-axis represents the solution to the equation f(x)=0f(x) = 0.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Exponential Functions
Graphing Functions
Zero of a Function

Formulas

-

Theorems

-

Suitable Grade Level

Grades 10-12