Understanding Exponential Functions

The video tutorial explains how to graph the exponential function y = 2 * 8^x by focusing on the y-intercept. It breaks down the function into its components, identifying the coefficient as the starting value and the base as the growth rate. The tutorial emphasizes the importance of the y-intercept, where the graph intersects the y-axis, and demonstrates how to plot it on the coordinate plane.

What is the first step Karen should take when graphing the exponential function y = 2 * 8^X?

• Plot the y-intercept

• Determine the domain

• Plot the x-intercept

• Calculate the slope

In the function y = 2 * 8^X, what does the number 2 represent?

• The growth rate

• The x-intercept

• The starting value

• The exponent

What role does the number 8 play in the function y = 2 * 8^X?

• It is the growth rate

• It is the starting value

• It is the y-intercept

• It is the slope

Why is the number 8 considered the growth rate in the function y = 2 * 8^X?

• Because it is equal to 1

• Because it is less than 1

• Because it is greater than 1

• Because it is a negative number

What does the y-intercept represent in the context of the function y = 2 * 8^X?

• Where the graph intersects the y-axis

• The minimum value of the function

• The maximum value of the function

• Where the graph intersects the x-axis

At which point does the graph of the function y = 2 * 8^X intersect the y-axis?

• (2, 0)

• (0, 2)

• (0, 0)

• (0, 8)