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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.

Read the first 6 Functions and Graphs flashcards as text
  1. What is the x-intercept of f(x) = 2x - 8?

    Answer: x = 4

    Set f(x) = 0: 2x - 8 = 0 gives x = 4.

  2. Which describes an increasing function on an interval?

    Answer: As x increases, y increases

    An increasing function produces larger outputs as input values increase.

  3. What is the domain of f(x) = 1/(x - 5)?

    Answer: x ≠ 5

    The denominator cannot be zero: x - 5 ≠ 0, so x ≠ 5.

  4. What transformation does y = f(x - 2) represent?

    Answer: Shift 2 units right

    Replacing x with (x - 2) shifts the graph 2 units to the right.

  5. If f(x) = 5 for all x, the function is called a:

    Answer: Constant function

    A function that outputs the same value for every input is a constant function.

  6. For f(x) = |x|, what is the minimum value?

    Answer: 0

    Since |x| ≥ 0 for all real x, the minimum value is 0, achieved at x = 0.