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Functions Flashcards

7 cards from real CAASPP practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 7 Functions flashcards as text

  1. What defines a function in mathematics?

    Answer: Each input has exactly one output

    A function requires that each input (x-value) maps to exactly one output (y-value).

  2. Which of the following represents a linear function?

    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.

  3. If f(x) = 3x − 5, what is f(4)?

    Answer: 7

    f(4) = 3(4) − 5 = 12 − 5 = 7.

  4. Which test determines whether a graph represents a function?

    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.

  5. A table shows x: 1, 2, 3, 4 and y: 2, 4, 6, 8. What type of function does this represent?

    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.

  6. What is the slope of the linear function f(x) = −2x + 7?

    Answer: −2

    In f(x) = mx + b, the slope m is the coefficient of x, which is −2.

  7. Which of the following sets of ordered pairs is NOT a function?

    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.