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Functions and Graphs Flashcards

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

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  1. Which of the following relations is a function?

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

    A function requires each input to have exactly one output; only the second set has no repeated x-values.

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

    Answer: x ≥ 3

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

  3. If f(x) = 3x - 2, what is f(4)?

    Answer: 10

    f(4) = 3(4) - 2 = 10.

  4. The vertical line test determines whether a graph is:

    Answer: A function

    The vertical line test checks if any vertical line intersects the graph more than once; if not, it is a function.

  5. What is the range of f(x) = x² for all real x?

    Answer: y ≥ 0

    Since x² ≥ 0 for all real x, the range is y ≥ 0.

  6. What notation means 'f composed with g'?

    Answer: f ∘ g

    Function composition is written f ∘ g, meaning f(g(x)).