what is the domain of the function shown on the graph?\na. $-10 < x < 2$\nb. $x \\le 1$\nc. $x \\le 2$\nd…

what is the domain of the function shown on the graph?\na. $-10 < x < 2$\nb. $x \\le 1$\nc. $x \\le 2$\nd. $-\\infty < x < \\infty$

what is the domain of the function shown on the graph?\na. $-10 < x < 2$\nb. $x \\le 1$\nc. $x \\le 2$\nd. $-\\infty < x < \\infty$

Answer

Explanation:

Step1: Identify domain definition

The domain represents all possible $x$-values for which the function is defined.

Step2: Analyze the left side

The graph has an arrow pointing left, indicating it extends to $-\infty$.

Step3: Analyze the right side

The graph has an arrow pointing down at $x = 2$, suggesting a vertical asymptote.

Step4: Determine the boundary

The function exists for all $x$ values strictly less than $2$. $$x < 2$$

Answer:

C. $x < 2$