Graphing Exponential Functions Mastery

What is the general form of an exponential function?

• Y = a/X

• Y = aX^2 + bX + c

• Y = aX + b

• Y = a^X where a is a positive constant

Which of the following is an example of an exponential function with a base greater than one?

• Y = -2^X

• Y = 1^X

• Y = 2^X

• Y = 1/2^X

What is the y-intercept of the graph of Y = 3^X?

• (0, 1)

• (1, 1)

• (1, 0)

• (0, 0)

For the function Y = 2^X, what happens to Y as X approaches negative infinity?

• Y approaches zero

• Y approaches infinity

• Y remains constant

• Y becomes negative

Which of the following functions represents exponential decay?

• Y = 2^X

• Y = 3^X

• Y = 1/2^X

• Y = 5^X

How can Y = 1/2^X be rewritten using the rules of indices?

• Y = 2^X

• Y = 1/2^-X

• Y = 2^-X

• Y = -2^X

What transformation occurs when Y = 2^X is changed to Y = 2^X + 1?

• Vertical shift up by 1

• Horizontal shift right by 1

• Vertical shift down by 1

• Horizontal shift left by 1

What is the new asymptote of the function Y = 2^X - 3?

• Y = 1

• Y = 3

• Y = -3

• Y = 0

What happens to the graph of Y = 3^X when the base is changed to 1/3?

• It reflects over the y-axis

• It reflects over the x-axis

• It shifts down

• It shifts up

Using a graphical calculator, what is the y-intercept of the function Y = 6^X?

• (0, 0)

• (1, 0)

• (0, 1)

• (1, 1)