Question

unit test
unit test complete
11 12 13 14 15 16 17
the graph of the piecewise function f(x) is shown. what is the domain of f(x)?
options: {x|1 ≤ x < 5}, {x|1 ≤ x ≤ 5}, {y|-4 ≤ y < 1}, {y|-4 ≤ y ≤ 1}
mark this and return save and exit next

Explanation:

The domain of a function is the set of all x-values for which the function is defined. From the graph, the function has points starting at x=1 (closed dot, so included) up to x=5 (closed dot, so included). Thus, the domain is all x where 1≤x≤5. Options C and D refer to y-values (range), not domain. Option A uses < instead of ≤, excluding endpoints which are included. So B is correct.

Answer:

B. {x|1≤x≤5}