Understanding Exponential Functions Concepts

The video tutorial covers exponential functions, focusing on their equations, y-intercepts, and rates of change. It explains how to write equations from graphs and tables, and discusses exponential growth and decay using percentages. The tutorial concludes with practice questions to reinforce understanding.

What is the role of an asymptote in an exponential function?

• It is the line that the graph never crosses.

• It is the maximum value of the function.

• It is the slope of the function.

• It is the point where the graph starts.

In the equation y = a * B^X, what does 'a' represent?

• The rate of change

• The x-intercept

• The y-intercept

• The asymptote

How do you determine the rate of change in an exponential function from a graph?

• By calculating the area under the curve

• By identifying the y-intercept

• By finding the slope of the line

• By observing how the y-values change as x increases

When given a percentage increase, how do you convert it for use in an exponential function?

• Subtract the percentage from 1

• Add 1 to the percentage

• Multiply by 100

• Convert the percentage to a decimal

What is the B value in an exponential function if the situation is growing?

• Between 0 and 1

• Less than 0

• Greater than 1

• Equal to 1

Which statement is true about the x-intercept of an exponential function?

• It does not exist for exponential functions

• It is where the graph crosses the x-axis

• It is always at x = 0

• It is the same as the y-intercept

How do you determine if an exponential function is increasing or decreasing?

• By checking if the y-intercept is positive

• By observing if the B value is greater than or less than 1

• By looking at the sign of the exponent

• By calculating the slope

What does the y-intercept represent in the context of an exponential function?

• The asymptote

• The maximum value

• The rate of change

• The initial value of the function

In the context of exponential growth, what does a B value of 1.12 indicate?

• The function is growing at 112%

• The function is constant

• The function is growing at 12%

• The function is decreasing

When matching graphs to exponential equations, what should you check first?

• The slope of the graph

• The asymptote of the graph

• The y-intercept of the graph

• The x-intercept of the graph