Exponential Functions and Their Graphs

The video tutorial explains how to match equations to graphs by identifying exponential functions. It covers the initial value 'A', which is the Y-intercept, and how the base 'B' determines whether the function represents exponential growth or decay. The tutorial guides viewers through matching equations to graphs by analyzing the initial value and base, and explains how to identify exponential growth and decay through graph characteristics.

What form do all the equations in the video take?

• A plus B to the power of X

• A minus B to the power of X

• A multiplied by B to the power of X

• A divided by B to the power of X

What does the initial value 'A' represent in an exponential function?

• The Y-intercept of the function

• The base of the function

• The X-intercept of the function

• The slope of the function

What happens to the graph of an exponential function if the base 'B' is between 0 and 1?

• The graph oscillates

• The graph remains constant

• The graph decreases

• The graph increases

If the base 'B' is greater than 1, what type of exponential function do we have?

• Exponential growth

• Exponential decay

• Linear decay

• Linear growth

Which graph corresponds to an equation with an initial value 'A' of 4 and a base 'B' greater than 1?

• The red graph

• The blue graph

• The green graph

• The brown graph

Which base value indicates a faster decrease in an exponential decay function?

• 0.7

• 1.5

• 0.5

• 1.2

Which graph represents the equation with a base of 0.7?

• The blue graph

• The red graph

• The green graph

• The brown graph

What is the Y-intercept of the equations with a base greater than 1 and an initial value 'A' of 3?

• 3

• 2

• 4

• 1

Which graph corresponds to the equation with a base of 1.5?

• The black graph

• The green graph

• The red graph

• The blue graph

Which graph corresponds to the equation with a base of 1.2?

• The black graph

• The green graph

• The red graph

• The blue graph