Question

use the graph below to determine whether the statements about the function y = f(x) are true or false. true or false: $limlimits_{x \to -3^+} f(x) = 9$. $\bigcirc$ true $\bigcirc$ false

Explanation:

Step1: Understand the right - hand limit

The right - hand limit $\lim_{x
ightarrow - 3^{+}}f(x)$ is the value that $f(x)$ approaches as $x$ gets closer to $-3$ from the right (i.e., values of $x$ greater than $-3$).

Step2: Analyze the graph near $x = - 3$

Looking at the graph, when we approach $x=-3$ from the right side (moving towards $x = - 3$ from values like $x=-2.9$, $x = - 2.99$, etc.), we observe the behavior of the function. From the given graph, the part of the graph near $x=-3$ (on the right - hand side of $x=-3$) shows that as $x$ approaches $-3$ from the right, the function $f(x)$ approaches $9$ (since the point on the graph near $x=-3$ from the right seems to be approaching the $y$ - value of $9$).

Answer:

True