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the numbers, if any at which f has a relative maximum? What are these relative maxima?the numbers, if any at which f has a relative minimum. What are these minimum?

the numbers, if any at which f has a relative maximum? What are these relative maxima-example-1
the numbers, if any at which f has a relative maximum? What are these relative maxima-example-1
the numbers, if any at which f has a relative maximum? What are these relative maxima-example-2
User Ggulgulia
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1 Answer

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a) We have to identify the relative maximum of f.

We can identify it in the graph as:

The maximum happens at x = 0 and it corresponds to a value of f(0) = 3.

b) We can not identify in the graph if there is a relative minimum. In the domain shown in the graph we don't have minimum points.

We can identify the values for f(-2) and f(6) as:

f(-2) = 0 as it is an x-intercept of f(x).

f(6) = -3, although it can be argued that the arrow is not precisely indicating that it is the value of f(x) when x = 6.

Answer:

a) Maximum at x = 0, where f(0) = 3.

b) No relative minimum

c) f(-2) = 0 and f(6) = -3

the numbers, if any at which f has a relative maximum? What are these relative maxima-example-1
the numbers, if any at which f has a relative maximum? What are these relative maxima-example-2
User Austin Adams
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4.4k points