LT

Test: Functions: domain and range

This test develops understanding of function inputs, outputs, domain and range. Students also find zeros, determine intervals where a function is positive or negative and interpret information given by formulas or graphs.

Question qty: 10
Duration in minutes: 18
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Sample questions

  • Give the domain of f(x) = 1/(x − (a)).
  • Find where f(x) = ax + (b) crosses the x-axis.
  • Given f(x) = ax + (b), find f(x).
  • Given f(x) = ax + (b), find x when f(x) = y.
  • What is the range of f(x) = x²?
  • Which condition is required for a table or mapping to define a function?
  • On which interval is f(x) = (x − (x1))(x − x2) negative?
  • What exactly does the domain of a function mean?

Functions: domain and range

The domain is the set of permitted input values x, while the range is the set of output values y attained by the function. On a graph, read the domain horizontally and the range vertically.

Finding restrictions

A denominator cannot be zero, and the radicand of an even root must be non-negative. Include an interval endpoint only when the function is defined there. An open or closed point on a graph also indicates whether a boundary value belongs to the set.

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