Mathematics

Problem

## Detection Note The validator flagged this with error `TABLE_FORMAT`: > Uses LaTeX cases environment (\begin{cases} ... \end{cases}); should be converted to a supported/Markdown-friendly format. ## Question to Fix Consider the functions

Condition	$f(x)$
$-1 \le x \le 0$	$x - 1$
$0 \le x \le 1$	$x^2$

and

g(x) = \sin x

. If

h_1(x) = f(|g(x)|)

and

h_2(x) = |f(g(x))|

. Which of the following is not true about

h_2(x)

? a. The domain is

R

b. It is periodic with period

2\pi

c. The range is

[0, 1]

d. None of the above

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