Question

given the graph, what is the right end behavior?

source:
image created for vva via desmos; 2025

\\(x \
ightarrow -\infty, f(x) \
ightarrow -\infty\\)
\\(x \
ightarrow \infty, f(x) \
ightarrow -\infty\\)
\\(x \
ightarrow \infty, f(x) \
ightarrow \infty\\)
\\(x \
ightarrow \infty, f(x) \
ightarrow 0\\)

Explanation:

Identify the target behavior

Using the End Behavior knowledge point

$$ \text{Right end behavior describes the limit of } f(x) \text{ as } x \to \infty. $$

Analyze the graph as x increases

Using the End Behavior knowledge point

$$
LATEXBLOCK0
$$

Match with the given options

Using the End Behavior knowledge point

$$ x \to \infty, f(x) \to -\infty $$

Answer:

• (A) \(x

ightarrow -\infty, f(x)
ightarrow -\infty\)

• **(B) \(x

ightarrow \infty, f(x)
ightarrow -\infty\) (Correct answer)**

• (C) \(x

ightarrow \infty, f(x)
ightarrow \infty\)

• (D) \(x

ightarrow \infty, f(x)
ightarrow 0\)