Exploring Graphing and Characteristics of Exponential Functions

What does 'r' represent in the context of exponential functions?

• 'r' is the y-intercept of the graph.

• 'r' is the rate of growth or decay.

• 'r' is the horizontal shift of the graph.

• 'r' is the vertical stretch or shrink factor.

If 'a' is negative in an exponential function, what does it indicate?

• The function represents exponential decay.

• The function represents exponential growth.

• The graph of the function is reflected.

• The 'a' value has no impact on the function.

How does a negative exponent affect the 'r' value in an exponential function?

• It inverts the 'r' value.

• It doubles the 'r' value.

• It has no effect on the 'r' value.

• It halves the 'r' value.

What is the significance of the k value in graphing exponential functions?

• It signifies the rate of growth or decay.

• It indicates the asymptote of the graph.

• It determines the y-intercept.

• It represents the horizontal shift.

What does the domain of all real numbers imply in the context of exponential functions?

• The function has no asymptote.

• The function has a limited range.

• The function can take any value of x.

• The function is undefined for certain values of x.

In graphing, what does crossing over the asymptote indicate?

• A calculation error.

• A shift in the graph.

• An undefined behavior.

• A change in the domain.

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

• By setting x to zero.

• By determining the asymptote.

• By setting y to zero.

• By finding the maximum value of the function.

What does an exponential decay graph look like?

• It rises to the right.

• It oscillates.

• It falls to the right.

• It is a straight line.

What role does the asymptote play in the graph of an exponential function?

• It determines the slope of the graph.

• It is a boundary that the graph approaches but never crosses.

• It is the lowest point the graph can reach.

• It is the highest point the graph can reach.

What does a positive 'a' value indicate in an exponential function?

• The function is reflected.

• The function has no asymptote.

• The function represents growth if 'r' > 1.

• The function represents decay if 'r' < 0.