Question 1

Given the graph in Figure (1), at which x-value(s) is the function discontinuous, and which condition(s) of continuity fail at those points?

Accepted Answer

At $$x = -7 ($$function is undefined) and $$x = -1 ($$limit does not exist)

Question 2

Using Figure (2), what is $$\lim_{x 	o 0} f(x)$$?

Accepted Answer

$$6$$

Question 3

Refer to Figure (3). What is $$\lim_{x 	o -3^-} f(x)$$?

Accepted Answer

$$4$$

Question 4

In Figure (4), what is $$\lim_{x 	o 4^-} f(x)$$?

Accepted Answer

$$\infty$$

Question 5

For the function in Figure (2), over which interval is the function undefined?

Accepted Answer

$$x \in [1, 2)$$

Question 6

Using Figure (3), what is $$\lim_{x 	o 2} f(x)$$?

Accepted Answer

$$-4$$

Question 7

In Figure (4), at which x-value does the function have a jump discontinuity?

Accepted Answer

$$x = 2$$

Question 8

For Figure (1), what is $$\lim_{x 	o 2^-} f(x)$$?

Accepted Answer

$$-3$$

Question 9

In Figure (2), what is $$\lim_{x 	o -8} f(x)$$?

Accepted Answer

$$-4$$

Question 10

Refer to Figure (3). At which x-value does the function have a removable discontinuity?

Accepted Answer

$$x = 2$$

Question 11

In Figure (4), what is $$\lim_{x 	o 2} f(x)$$?

Accepted Answer

$$3$$

Question 12

For Figure (1), what is $$\lim_{x 	o -1^+} f(x)$$?

Accepted Answer

$$1$$

Limits and Continuity from Graphs – Business Calculus Study Guidance

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