Graphing Exponential Functions: Key Concepts and Techniques

What is the general form of an exponential function?

• y = mx + b

• y = a * b^x

• y = a/x

• y = ax^2 + bx + c

In an exponential function, what does the variable 'a' represent?

• The rate of change

• The initial value

• The asymptote

• The exponent

What happens to the graph of an exponential function when b > 1?

• It forms a straight line

• It decreases from left to right

• It increases from left to right

• It remains constant

What is an asymptote in the context of exponential functions?

• A point where the graph crosses the y-axis

• A line that the graph approaches but never touches

• The maximum value of the function

• The initial value of the function

Which x-values are recommended for graphing exponential functions?

• From -5 to 5

• From -10 to 10

• From -2 to 2

• From 0 to 4

What is the y-value when x = 0 for the function 2^x?

• 2

• 0.5

• 1

• 4

How do you determine the asymptote of an exponential function?

• By calculating the derivative

• By checking if there is a constant added or subtracted at the end of the equation

• By finding the y-intercept

• By looking at the coefficient of x

What is the y-intercept of the function 2^x?

• (0, 1)

• (0, 0.5)

• (0, 2)

• (0, 4)

What is the asymptote for the function y = 1/4^x?

• y = 4

• y = 1

• y = -1

• y = 0

What is the y-value when x = -2 for the function 5 * (1/2)^x - 3?

• 0.25

• 4

• 17

• 1