Graphing Exponential Functions with Transformations

What are the two key points always present in the graph of an exponential function?

• (0, 0) and (1, 1)

• (0, 1) and (1, base)

• (1, 0) and (base, 1)

• (0, base) and (1, 1)

What happens to the graph of an exponential function when a constant is added to the exponent?

• It shifts horizontally

• It reflects across the x-axis

• It shifts vertically

• It compresses vertically

How does a vertical shift affect the horizontal asymptote of an exponential function?

• It moves the asymptote left or right

• It moves the asymptote up or down

• It reflects the asymptote across the x-axis

• It does not affect the asymptote

What transformation occurs when a constant is added after the exponential part of the function?

• Horizontal compression

• Vertical stretch

• Horizontal shift

• Vertical shift

How does a negative sign in front of the base of an exponential function affect the graph?

• It shifts the graph up

• It shifts the graph down

• It reflects the graph across the x-axis

• It reflects the graph across the y-axis

What is the effect of multiplying the output of an exponential function by a constant greater than 1?

• Horizontal compression

• Vertical shift

• Vertical stretch

• Horizontal shift

What is the approximate value of the base e?

• 3.7

• 2.7

• 1.7

• 4.7

In the function f(x) = 3 * (1/2)^x, what is the base of the exponential?

• x

• 1/2

• 1

• 3

What is the effect of a negative exponent in an exponential function?

• Reflection across the x-axis

• Horizontal shift

• Reflection across the y-axis

• Vertical shift

What is the horizontal asymptote of the function f(x) = e^x + 2 - 1?

• y = 0

• y = 1

• y = -1

• y = 2