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In Exercise sketch the graph of a single function that has

Chapter , Problem 59PE

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QUESTION:

Problem 59PE

In Exercise sketch the graph of a single function that has all of the properties listed.

a. Continuous everywhere except at x = −4, where there is a vertical asymptote

b. A y-intercept at y = −2

c.x-intercepts at x = −3, 1, and 4

d.f′(x) < 0 on (−∞, −5), (−4, −1), and (2, ∞)

e.f′(x) > 0 on (−5,−4) and (−1, 2)

f.f″(x) > 0 on (−∞,−4) and (−4,−3)

g.f″(x) < 0 on (−3,−1) and (−1, ∞)

h. Differentiable everywhere except at x = −4 and x = −1

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QUESTION:

Problem 59PE

In Exercise sketch the graph of a single function that has all of the properties listed.

a. Continuous everywhere except at x = −4, where there is a vertical asymptote

b. A y-intercept at y = −2

c.x-intercepts at x = −3, 1, and 4

d.f′(x) < 0 on (−∞, −5), (−4, −1), and (2, ∞)

e.f′(x) > 0 on (−5,−4) and (−1, 2)

f.f″(x) > 0 on (−∞,−4) and (−4,−3)

g.f″(x) < 0 on (−3,−1) and (−1, ∞)

h. Differentiable everywhere except at x = −4 and x = −1

ANSWER:

Solution:-

Step 1 of 3

Given that

We have to sketch the graph of a single function that has all of the properties listed.

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