MoGEA Test Functions, Patterns, and Algebraic Relationships

Question 1

If f(x) = 3x² - 2x + 1, what is f(2)?

Accepted Answer

9

Answer

f(2) = 3(4) - 2(2) + 1 = 12 - 4 + 1 = 9.

Question 2

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

Accepted Answer

x ≥ 3

Answer

The expression under a square root must be non-negative, so x - 3 ≥ 0, meaning x ≥ 3.

Question 3

What is the slope of the line passing through the points (2, 5) and (6, 13)?

Accepted Answer

2

Answer

Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.

Question 4

Which set of ordered pairs does NOT represent a function?

Accepted Answer

{(1,2),(1,3),(2,4)}

Answer

In {(1,2),(1,3),(2,4)}, the input x = 1 maps to two different outputs, violating the definition of a function.

Question 5

What is the 10th term of the arithmetic sequence 3, 7, 11, 15, ...?

Accepted Answer

39

Answer

Using aₙ = a₁ + (n-1)d: a₁₀ = 3 + 9(4) = 3 + 36 = 39.

MoGEA Test Practice Test