MDTP Pre-Calculus

Question 1

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

Accepted Answer

π

Answer

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

Question 2

What is log₂(64)?

Accepted Answer

6

Answer

log₂(64) = 6 because 2⁶ = 64.

Question 3

Which of the following is an odd function?

Accepted Answer

f(x) = x³

Answer

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

Question 4

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

Accepted Answer

f⁻¹(x) = x/2 - 3

Answer

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

Question 5

Evaluate: sin(90°)

Accepted Answer

1

Answer

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

MDTP - Mathematics Diagnostic Testing Project Practice Test