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ACT Math — Functions — Drill 1

Drill 1 · Math · Functions

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About This Drill

ACT Math — Functions — Drill 1 is a Math practice drill covering Functions. It contains 5 original questions created by Brian Stewart, a Barron's test prep author with over 20 years of tutoring experience.

ACT Functions questions cover evaluating functions for given inputs, determining domain and range, reading functions defined by tables and graphs, composing two functions, and interpreting the effect of vertical and horizontal transformations on a graph.

Questions in This Drill

  1. If f(x) = 2x2 − 3x + 1, what is f(−2)?
  2. What is the domain of the function f(x) = (x + 4) / (x2 − x − 6)?
  3. The table below shows values of a linear function g(x).
    x       −2    0    2    4
    g(x)     1    5    9   13
    Which of the following defines g(x)?
  4. Let f(x) = 3x − 2 and g(x) = x2 + 1. What is f(g(3))?
  5. The graph of f(x) = x2 is transformed to produce the graph of g(x) = (x − 3)2 + 4. Compared to the graph of f(x), the graph of g(x) is shifted in which direction?