MoGEA Test Functions, Patterns, and Algebraic Relationships 1 — Questions and Answers
Question 1: If f(x) = 3x² - 2x + 1, what is f(2)?
- 9 (Correct answer)
- 10
- 11
- 13
Correct answer: 9
f(2) = 3(4) - 2(2) + 1 = 12 - 4 + 1 = 9.
Question 2: What is the domain of the function f(x) = √(x - 3)?
- x ≥ 0
- x ≥ 3 (Correct answer)
- x > 3
- All real numbers
Correct answer: x ≥ 3
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)?
- 1
- 2 (Correct answer)
- 3
- 4
Correct answer: 2
Slope = (13 - 5) / (6 - 2) = 8 / 4 = 2.
Question 4: Which set of ordered pairs does NOT represent a function?
- {(1,2),(2,3),(3,4)}
- {(1,2),(2,2),(3,2)}
- {(1,2),(1,3),(2,4)} (Correct answer)
- {(1,1),(2,4),(3,9)}
Correct answer: {(1,2),(1,3),(2,4)}
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, ...?
- 35
- 37
- 39 (Correct answer)
- 43
Correct answer: 39
Using aₙ = a₁ + (n-1)d: a₁₀ = 3 + 9(4) = 3 + 36 = 39.
Question 6: What is the common ratio of the geometric sequence 2, 6, 18, 54, ...?
- 2
- 3 (Correct answer)
- 4
- 6
Correct answer: 3
Dividing any term by the previous term gives 6 ÷ 2 = 3, confirming the common ratio is 3.
Question 7: A linear function passes through (0, 4) and (3, 10). What is the rate of change?
- 2 (Correct answer)
- 3
- 4
- 6
Correct answer: 2
Rate of change = (10 - 4) / (3 - 0) = 6 / 3 = 2.
MoGEA Test Functions, Patterns, and Algebraic Relationships 1
If f(x) = 3x² - 2x + 1, what is f(2)?