What is the range of the absolute value function below?

Question

asked Nov 23, 2023 96.8k views

1 Answer

Wesley Monaro · Answer 1 · 2023-11-26T23:54:16+0000

Answer: Choice C.
$f(x) \le 1$

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Reason:

The f(x) represents the y output, and the range is the set of all possible y outputs of a function.

The largest y can get is y = 1, which is at the highest point of the graph, aka the vertex.

We can have y = 1 or y < 1.

Therefore, the range is
$y \le 1$ which translates to
$f(x) \le 1$