\$1 < x < \\infty\$ \$-1 < x < \\infty\$ \$-\\infty < x < 1\$ \\(…

QUESTION IMAGE

$\$1 < x < \\infty\$ \$-1 < x < \\infty\$ \$-\\infty < x < 1\$ \\(…$

Question

\$1 < x < \infty\$
\$-1 < x < \infty\$
\$-\infty < x < 1\$
\$1 < x < 1\$

Explanation:

Response

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Identify the vertex of the parabola

The graph shows a downward-opening parabola with its peak (vertex) at the point $(1, 1)$.

Determine the interval where the function is increasing

The function increases as $x$ moves from left to right up to the $x$-coordinate of the vertex.
\[
-\infty < x < 1
\]
</reasoning>

<answer>
<mcq-option>(A) $1 < x < \infty$</mcq-option>
<mcq-option>(B) $-1 < x < \infty$</mcq-option>
<mcq-correct>(C) $-\infty < x < 1$</mcq-correct>
<mcq-option>(D) $1 < x < 1$</mcq-option>
</answer>

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Answer: