CAASPP Functions 1 — Questions and Answers
Question 1: What defines a function in mathematics?
- Each input has exactly one output (Correct answer)
- Each output has exactly one input
- All inputs and outputs are equal
- The graph is always a straight line
Correct answer: Each input has exactly one output
A function requires that each input (x-value) maps to exactly one output (y-value).
Question 2: Which of the following represents a linear function?
- y = x²
- y = 2x + 3 (Correct answer)
- y = √x
- y = 1/x
Correct answer: y = 2x + 3
A linear function has the form y = mx + b, making y = 2x + 3 linear with slope 2 and y-intercept 3.
Question 3: If f(x) = 3x − 5, what is f(4)?
- 7 (Correct answer)
- 12
- 17
- −17
Correct answer: 7
f(4) = 3(4) − 5 = 12 − 5 = 7.
Question 4: Which test determines whether a graph represents a function?
- Horizontal line test
- Vertical line test (Correct answer)
- Diagonal line test
- Origin symmetry test
Correct answer: Vertical line test
The vertical line test states that if any vertical line intersects a graph at more than one point, the graph does not represent a function.
Question 5: A table shows x: 1, 2, 3, 4 and y: 2, 4, 6, 8. What type of function does this represent?
- Quadratic
- Exponential
- Linear (Correct answer)
- Absolute value
Correct answer: Linear
The y-values increase by a constant amount of 2 for each increase of 1 in x, which is a constant rate of change characteristic of linear functions.
Question 6: What is the slope of the linear function f(x) = −2x + 7?
- 7
- −7
- −2 (Correct answer)
- 2
Correct answer: −2
In f(x) = mx + b, the slope m is the coefficient of x, which is −2.
Question 7: Which of the following sets of ordered pairs is NOT a function?
- {(1,2), (2,3), (3,4)}
- {(1,2), (1,3), (2,4)} (Correct answer)
- {(2,1), (3,1), (4,1)}
- {(0,0), (1,1), (2,2)}
Correct answer: {(1,2), (1,3), (2,4)}
In set B, the input 1 maps to two different outputs (2 and 3), which violates the definition of a function.
CAASPP Functions 1
What defines a function in mathematics?