Unit 3 Assessment: Exponential & Log Functions

What is the domain of the function?

• All real numbers

• All positive numbers

• All negative numbers

• All real numbers except zero

What is the range of the function ?

• y > -5

• y < -5

• y > 5

• y < 5

For the function given, what is the y-intercept?

• (0, 7)

• (0, -2)

• (7, 0)

• (-2, 0)

Which function has an asymptote at y = 7?

• f(x) = 3^{-x} + 2

• f(x) = 4 (1/2)^{-x} - 5

• f(x) = -2^{x} + 7

• None of the above

What is the end behavior of the function given as x approaches infinity?

• f(x) approaches 2

• f(x) approaches 3

• f(x) approaches 0

• f(x) approaches infinity

Which function is increasing over its entire domain?

• f(x) = 3^{-x} + 2

• f(x) = 4 (1/2)^{-x} - 5

• f(x) = -2^{x} + 7

• None of the above

What is the domain of the function?

• x > -5

• x ≥ -5

• x > -4

• x ≥ 0

What is the vertical asymptote of the function?

• x = 0

• x = 1/2

• x = -1/2

• x = -1

For the function given, what is the x-intercept?

• x = 4.321

• x = -3.127

• x = -2.341

• x = 5.389

Fill in the boxes below to convert the equation 4^x = 40 to LOGARITHMIC FORM. **Type in the format log base ___ of ___ = ___