$$f(x)$$ has no absolute minimum; $$f(x) \to -\infty as$$ $$x \to \infty$$

Question 1

Given the graph above, which of the following statements is TRUE about the function $$f(x)$$?

Accepted Answer

The function $$f(x)$$ has a relative minimum at $$x \approx -2.$$

Question 2

Based on the graph, what is the end behavior of $$f(x) as$$ $$x 	o \infty$$?

Accepted Answer

$$f(x) 	o -\infty$$

Question 3

At which $$x-$$value does $$f(x)$$ achieve a relative maximum, according to the graph?

Accepted Answer

$$x \approx -4$$

Question 4

Which of the following best describes the absolute minimum value of $$f(x) as $$shown in the graph?

Accepted Answer

$$f(x)$$ has no absolute minimum; $$f(x) 	o -\infty as$$ $$x 	o \infty$$

Question 5

Suppose the function $$f(x)$$ represented by the graph is a cubic polynomial. Which of the following statements is most likely TRUE?

Accepted Answer

The leading coefficient of $$f(x) is $$negative.

Question 6

If the graph represents $$f(x)$$, which interval is $$f(x)$$ decreasing?

Accepted Answer

$$(0, \infty)$$

Question 7

Based on the graph, which of the following is a point of inflection?

Accepted Answer

$$x \approx 0$$

Question 8

Which of the following best describes the behavior of $$f(x) as$$ $$x 	o -\infty$$?

Accepted Answer

$$f(x) 	o \infty$$

Question 9

If $$f(x) is $$the function shown, which of the following intervals contains a local minimum?

Accepted Answer

$$(-4, -2)$$

Question 10

Which of the following statements is FALSE about the function $$f(x) as $$shown in the graph?

Accepted Answer

$$f(x) is $$always increasing for all $$x$$

Calculus Exam 2 Review – Extrema and Graph Analysis

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