Yes, because $\lim_{x \to 3} f(x) = f(3)$

Question 1

Evaluate $\lim_{x 	o -1^-} f(x)$ using the graph.

Accepted Answer

$-5$

Question 2

Evaluate $\lim_{x 	o -1^+} f(x)$ using the graph.

Accepted Answer

$5$

Question 3

What is $f(-1)$ according to the graph?

Accepted Answer

$5$

Question 4

Does $\lim_{x 	o -1} f(x)$ exist?

Accepted Answer

No, the left and right limits are not equal

Question 5

Is $f(x)$ continuous at $x = -1$?

Accepted Answer

No, because the left and right limits are not equal

Question 6

Evaluate $\lim_{x 	o 2^-} f(x)$ using the graph.

Accepted Answer

$-1$

Question 7

Evaluate $\lim_{x 	o 2^+} f(x)$ using the graph.

Accepted Answer

$2$

Question 8

What is $f(2)$ according to the graph?

Accepted Answer

$-1$

Question 9

Does $\lim_{x 	o 2} f(x)$ exist?

Accepted Answer

No, the left and right limits are not equal

Question 10

Is $f(x)$ continuous at $x = 2$?

Accepted Answer

No, because the left and right limits are not equal

Question 11

Evaluate $\lim_{x 	o 3^-} f(x)$ using the graph.

Accepted Answer

$2$

Question 12

Evaluate $\lim_{x 	o 3^+} f(x)$ using the graph.

Accepted Answer

$2$

Question 13

What is $f(3)$ according to the graph?

Accepted Answer

$2$

Question 14

Does $\lim_{x 	o 3} f(x)$ exist?

Accepted Answer

Yes, it exists and equals $2$

Question 15

Is $f(x)$ continuous at $x = 3$?

Accepted Answer

Yes, because $\lim_{x 	o 3} f(x) = f(3)$

Limits and Continuity from a Graph – Step-by-Step Guidance

Study Guide - Practice Questions