5 Questions
| Total Attempts: 462

What does different limits information tell us about the features of a function?

Questions and Answers

- 1.Select all the places to look for extreme points (maxima, minima):
- A.
Where the instantaneous rate of change is zero

- B.
Where the instantaneous rate of change does not exist

- C.
At the endpoints of the interval of interest

- D.
Where the function value is zero

- 2.Which of the following must be true if a function
*f*(*x*) does__not__have a minimum on an interval [a,b].- A.
F(x) must approach negative infinity somewhere in the interval [a,b]

- B.
F(x) must have a discontinuity on [a,b]

- C.
F(a) must be greater than f(b)

- D.
F(x) must have a maximum on the interval [a,b]

- 3.Which existence theorem allows use to use guess-and-check to solve equations which can be written in the form
*F*(*x*) = 0 for a continuous function*F*?- A.
The Intermediate Value Theorem

- B.
The Mean Value Theorem

- C.
The Extreme Value Theorem

- D.
Rolle's Theorem

- 4.Select all the correct statements about extreme points of the function in the graph.
- A.
The absolute minimum value is 0.

- B.
The absolute maximum value is 14/3.

- C.
There is a relative minimum between x=–5 and x=–4.

- D.
There is one point which is a relative maximum where the instantaneous rate of change is zero.

- E.
The instantaneous rate of change does not exist at x=–3 and there is a relative maximum there.

- F.
(1,1) is a relative maximum point.

- G.
The left end point is a relative maximum.

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