Tangent Functions + Oscillations

What is the period of this function, in degrees?

y = tan(4x) + 5

• 180

• 45

• 90

• 30

Which of the following could be a center point of this function:

f(x) = 3tan(2x + π) + 5

• (3π/4, 8)

• (π/2, 8)

• (π/4, 5)

• (-π/2, 5)

Which of the following is NOT a vertical asymptote of this function?

• x = π/4

• x = 0

• x = π/2

• x = π

f(x) = 2.5x + 4 + 3sin(4x)

This function oscillates between which of the following two parallel lines? Select two answer choices.

• y = 2.5x + 7

• y = 2.5x + 1

• y = 2.5x + 4

• y = 2.5x + 3

Describe the behavior in this function:

f(x) = -3xcos(10x)

• As x approaches zero, f(x) approaches zero

• As x approaches positive infinity, f(x) approaches zero

• As x approaches negative infinity, f(x) approaches zero

• There is no damped oscillation

Describe the behavior of this function:

f(x) = e³sin(4x)

• As x approaches zero, f(x) approaches zero

• As x approaches positive infinity, f(x) approaches zero

• As x approaches negative infinity, f(x) approaches zero

• There is no damped oscillation

Describe the behavior of this function.

• As x approaches zero, y approaches zero.

• As x approaches positive infinity, y approaches zero.

• As x approaches negative infinity, y approaches zero.

• As x approaches zero, y approaches negative two.

Describe the behavior of this function.

• As x approaches 0, y approaches 0.

• As x approaches positive infinity, y approaches 2.

• As x approaches negative infinity, y approaches 2.

• There is no damped oscillation.

Describe the behavior of this function.

• As x approaches 0, y approaches 0

• As x approaches 5, y approaches 0.

• As x approaches -5, y approaches 0.

• There is no damped oscillation

Describe the behavior of this function.

• As x approaches 2, y approaches -3.

• As x approaches 2, y approaches 3.

• As x approaches 4, y approaches -3.

• As x approaches 4, y approaches 3.