The left and right limits as $$x \to -3$$ are not equal

Question 1

Given the graph in Figure (1), at which x-value is the function discontinuous due to the function value not being defined?

Accepted Answer

$$x = -7$$

Question 2

For the function in Figure (2), what is $$\displaystyle \lim_{x 	o 0} f(x)$$?

Accepted Answer

$$6$$

Question 3

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

Accepted Answer

$$-4$$

Question 4

In Figure (4), what is the behavior of $$f(x) as$$ $$x$$ approaches $$4$$ from the left?

Accepted Answer

$$f(x) 	o \infty$$

Question 5

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

Accepted Answer

$$-3$$

Question 6

In Figure (2), why does $$\displaystyle \lim_{x 	o 2} f(x)$$ not exist?

Accepted Answer

The function is undefined for $$x$$ approaching $$2$$ from the left

Question 7

Which of the following best describes the discontinuity at $$x = -3 in $$Figure (3)?

Accepted Answer

The left and right limits as $$x 	o -3$$ are not equal

Question 8

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

Accepted Answer

$$3$$

Question 9

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

Accepted Answer

$$1$$

Question 10

Which figure shows a jump discontinuity at $$x = 2$$?

Accepted Answer

Figure (4)

Question 11

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

Accepted Answer

$$-4$$

Question 12

Which figure contains an interval where the function is not defined for all $$x in $$the interval?

Accepted Answer

Figure (2)

Question 13

In Figure (3), what is the value of $$f(x) at $$the open circle to the right of the y-axis?

Accepted Answer

The function is not defined at that point

Question 14

Which figure shows a removable discontinuity?

Accepted Answer

Figure (1)

Business Calculus Midterm Review: Limits and Continuity from Graphs

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