Finding Intercepts of Exponential Functions

The video tutorial explains how to find the x and y intercepts of exponential functions. It begins with an introduction to the concept of intercepts, followed by detailed examples demonstrating the process of solving for intercepts in various exponential functions. Each example is broken down step-by-step, showing how to set equations and solve for x and y intercepts. The video concludes with a summary of the key points covered.

What is the x-intercept of a graph?

• The highest point on the graph

• The point where the graph crosses the x-axis

• The point where the graph crosses the y-axis

• The lowest point on the graph

How do you find the y-intercept of an exponential function?

• Find the maximum value of the function

• Set x equal to zero

• Set y equal to zero

• Find the minimum value of the function

In the function f(x) = 5^x - 125, what is the first step to find the x-intercept?

• Divide the function by 125

• Multiply the function by 5

• Set y equal to zero

• Set x equal to zero

What is the x-intercept of the function f(x) = 5^x - 125?

• (0, 125)

• (5, 0)

• (3, 0)

• (0, -125)

For the function f(x) = 5^x - 125, what is the y-intercept?

• (0, -124)

• (0, 125)

• (0, 1)

• (0, 0)

In the function f(x) = 3^(x+3) - 9, what is the x-intercept?

• (0, 9)

• (1, 0)

• (3, 0)

• (-1, 0)

What is the y-intercept of the function f(x) = 3^(x+3) - 9?

• (0, 27)

• (0, 9)

• (0, 0)

• (0, 18)

In the function f(x) = 16 * 2^(x+3) - 2, what is the x-intercept using the first method?

• (0, -2)

• (6, 0)

• (0, 16)

• (-6, 0)

What is the y-intercept of the function f(x) = 16 * 2^(x+3) - 2?

• (0, 128)

• (0, 2)

• (0, 126)

• (0, 16)

For the function f(x) = (1/2) * (3/2)^(x+2) - 3/4, what is the x-intercept?

• (0, -3/4)

• (-1, 0)

• (0, 1/2)

• (1, 0)