CLT Math 5

Question 1

What is the domain of f(x) = √(x - 3)?

Accepted Answer

x ≥ 3

Answer

The radicand must be non-negative: x - 3 ≥ 0, so x ≥ 3.

Question 2

The graph of y = -2x² + 4 opens in which direction and has its vertex at:

Accepted Answer

Downward; (0, 4)

Answer

The negative leading coefficient means it opens downward, and the vertex is at (0, 4).

Question 3

Simplify: (x³ · x⁵) / x⁴

Accepted Answer

x⁴

Answer

x³ · x⁵ = x⁸; x⁸ / x⁴ = x⁴.

Question 4

If log₂(x) = 5, what is x?

Accepted Answer

32

Answer

log₂(x) = 5 means 2⁵ = x, so x = 32.

Question 5

Which equation represents a line perpendicular to y = 3x - 2?

Accepted Answer

y = -(1/3)x + 7

Answer

Perpendicular slopes are negative reciprocals; the reciprocal of 3 is -1/3.

(CLT) Classical Learning Test Practice Test