2.6 - Exponential Functions

• -2

• d

• 4

• b

• 0

• c

• 1

• a

Answer explanation

1/3 is the base of the exponential, not a parameter

Every exponential function always has a horizontal (a)   .

The domain of every exponential function is always

• all real numbers

Match the following prameters to the transformations they would cause.

• vertical shift down 10

• d = -10

• vertical shrink by ½

• b = 5

• x-axis reflection

• b = -1

• y-axis reflection

• a = -1

• horizontal shrink by ⅕

• a = ½

What is the equation of the horizontal asymptote for following exponential function?

• y = -4

• y > -4

• y < -4

• (0, -3)

Answer explanation

y = d

The dashed line is the horizontal asymptote for the exponential function shown on the graph.

• TRUE

• FALSE

What is the horizontal asymptote for y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Answer explanation

y = d

What is the range of the function shown in the graph?

• y < -4

• y ≤ -4

• y ≥ -4

• y > -4

What is the domain of the function shown in the graph?

• x ≥ 0

• -3 ≤ x ≤ 10

• all real numbers

• y ≥ 0

• vertical shrink by ⅓

• y-axis reflection

• vertical shift up 5

• x-axis reflection

• vertical stretch by 2

Answer explanation

2 is the base of the exponential function, not a parameter