Pre-Calculus Flashcards

What is the period of y = sin(2x)?

Answer: π

The period of y = sin(bx) is 2π/b; with b = 2, the period is 2π/2 = π.

What is log₂(64)?

Answer: 6

log₂(64) = 6 because 2⁶ = 64.

Which of the following is an odd function?

Answer: f(x) = x³

f(x) = x³ is odd because f(-x) = (-x)³ = -x³ = -f(x).

Find the inverse of f(x) = 2x + 6

Answer: f⁻¹(x) = x/2 - 3

Swapping x and y: x = 2y + 6, solving gives y = (x - 6)/2 = x/2 - 3.

Evaluate: sin(90°)

Answer: 1

sin(90°) = 1 is a standard value from the unit circle.

What is the amplitude of y = -3cos(x)?

Answer: 3

Amplitude is the absolute value of the coefficient, |−3| = 3.