Characteristics and Transformations of Exponential and Logarithmic Functions

The points and lie on the graph of , as shown in the attached graph. (If you move your mouse over the graph, the image will pop up a bit larger.)

The value of k is ______. (whole number)

Classify the following graph.

(If you move your mouse over the graph, the image will pop up larger.)

• Exponential Growth

• Exponential Decay

• Logarithmic Growth

• Logarithmic Decay

• 12 units left to x = -12

• 12 units right to x = 12

• 4 units left to x = -4

• 4 units right to x = 4

• not at all and remain x = 0

• right one to x = 1

• left one to x = -1

• no observable translation, and will remain x = 0

What is the domain and range of the exponential function shown?

• Domain all real numbers and range y > -2.

• Domain x < -2 and range y < -2.

• Domain all real numbers and range y < -2.

• Domain all real numbers and range y ≤ -2.

What is the domain and range of the exponential function shown?

• Domain all real numbers and range y > 1.

• Domain all real numbers and range y > 2.

• Domain all real numbers and range y < 2.

• Domain x > 2 and range y > 2.

What is the asymptote of the exponential function shown?

• y = -7

• y = 7

• y = 4

• y = 6

Describe the transformations of the exponential function shown.

• Stretch by a factor of 7, shift left 4, and shift down 7.

• Stretch by a factor of 7, shift right 4, and shift down 7.

• Shrink by a factor of 7, shift left 4, and shift down 7.

• Stretch by a factor of 7, shift left 4, and shift up 7.

Describe the transformations of the exponential function shown.

• Reflection over the x-axis, shift right 5 and shift down 2.

• Shift right 5 and shift down 2.

• Reflection over the x-axis, shift left 5 and shift down 2.

• Shift right 5 and shift up 2.

Describe the transformations of the exponential function shown.

• Shrink by a factor of 2/3 and shift right 10.

• Shrink by a factor of 2/3 and shift left 10.

• Stretch by a factor of 5 and shift left 10.

• Stretch by a factor of 5 and shift right 10.