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Chapter 2: Q. 18 (page 89)

In Problems 11–20, use the graph of the function f given.
Is there a local maximum value at 5? If yes, what is it?

Short Answer

Expert verified

No, local minimum at x=5

Step by step solution

01

Given Information

use the graph of the function f given.

02

Maximum or minimum

The graph goes on decreasing before x=5 and then it goes on increasing .

so , there is local minimum at x=5.

There is no local maximum at x=5

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Most popular questions from this chapter

The set of all images of the elements in the domain of a function is called the _________.

True or False The domain of the function $f (x) = \frac{x^{2} - 4}{x}$ is ${x | x \neq \pm 2}$ .

The short-term

(no more than $24$ hours) parking fee F (in dollars) for

parking x hours at O’Hare International Airport’s main

parking garage can be modeled by the function

role="math" localid="1645828501222" $F (x) = \{\begin{cases} 2 & i f 0 < x \leq 1 \\ 4 & i f 1 < x \leq 3 \\ 10 & i f 3 < x \leq 4 \\ 5 i n t (x + 1) + 2 & i f 4 < x < 9 \\ 51 & i f 9 \leq x \leq 24 \end{cases}$

Determine the fee for parking in the short-term parking

garage for

(a) $2$ hours

(b) $7$ hours

(c) $15$ hours

(d) $8$ hours and $24$ minutes

Find the following for each function:

$f (x) = \frac{3 x}{x^{2} - 1}$

Part (a): $f (2)$

Part (b): $f (- 2)$

Part (c): $f (- x)$

Part (d): $- f (x)$

Part (e): $f (x - 2)$

Part (f): $f (2 x)$

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. Verify your results using a graphing utility.

$f (x) = x^{2} - 1$

See all solutions

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