MDTP Pre-Calculus 3

Question 1

What are the zeros of f(x) = x³ - 4x?

Accepted Answer

x = 0, 2, -2

Answer

Factoring: x(x² - 4) = x(x-2)(x+2) = 0 gives x = 0, 2, -2.

Question 2

Which statement about the function y = 1/x is true?

Accepted Answer

It has a vertical asymptote at x = 0

Answer

y = 1/x is undefined at x = 0 and has a vertical asymptote there.

Question 3

Convert 3π/4 radians to degrees.

Accepted Answer

135°

Answer

Multiplying by 180/π: (3π/4)(180/π) = 3(180)/4 = 540/4 = 135°.

Question 4

What is the domain of f(x) = √(x - 5)?

Accepted Answer

x ≥ 5

Answer

The expression under the square root must be non-negative: x - 5 ≥ 0, so x ≥ 5.

Question 5

Which form represents a polynomial with roots at x = 1 and x = -4?

Accepted Answer

(x - 1)(x + 4)

Answer

Roots at x = 1 and x = -4 mean factors (x - 1) and (x - (-4)) = (x + 4).

MDTP - Mathematics Diagnostic Testing Project Practice Test