Question

unit test
unit test complete
21 22
the graph of the piecewise function f(x) is shown. what is the range of f(x)?
graph of the piecewise function f(x) with a horizontal segment and a line segment
options:

• {f(x) | -∞ < f(x) < ∞}
• {f(x) | -∞ < f(x) ≤ 4}
• {f(x) | 4 < f(x) < ∞}
• {f(x) | 0 ≤ f(x) < ∞}

mark this and return
save and exit next

Explanation:

Step1: Identify the graph's y-values

The piecewise graph has two parts: a horizontal segment at y=4 (left part) and a line decreasing from y=4 to y=0 (right part).

Step2: Determine the range

The minimum y-value is 0 (at x=4) and the maximum is 4 (constant on the left). All values between 0 and 4 are included. Thus, the range is 0 ≤ f(x) ≤ 4.

Answer:

{ f(x) | 0 ≤ f(x) ≤ 4 }