Graphing Functions and Exponential Behavior

The video tutorial explains how to match exponential functions to their graphs by classifying them as increasing or decreasing based on the base of the power. It also discusses how to use the y-intercept to match functions to their corresponding graphs, ensuring all functions are correctly paired.

What is the first step in matching an exponential function to its graph?

• Determine if the function is increasing or decreasing

• Calculate the slope

• Find the x-intercept

• Identify the y-intercept

How can you tell if an exponential function is decreasing?

• The graph is a straight line

• The y-intercept is negative

• The base is between zero and one

• The base is greater than one

What is the y-intercept of the first decreasing function?

• Three

• Five

• Two

• Four

Which graph corresponds to the first decreasing function?

• Graph A

• Graph B

• Graph C

• Graph D

What is the y-intercept of the second decreasing function?

• Two

• Five

• Three

• Four

Which graph corresponds to the second decreasing function?

• Graph D

• Graph A

• Graph B

• Graph C

What is the y-intercept of the first increasing function?

• Four

• Five

• Three

• Two

Which graph corresponds to the first increasing function?

• Graph B

• Graph D

• Graph C

• Graph A

What is the y-intercept of the second increasing function?

• Three

• Five

• Two

• Four

Which graph corresponds to the second increasing function?

• Graph C

• Graph A

• Graph D

• Graph B