Consider the function f(x) = x3 + 34 over the interval [–3, 4]. According to the extreme value theorem, the function has a minimum value of
and a maximum value of
.

Respuesta :

The answer for this question is:

7, 98

The minimum value of the function is 7 and the maximum value of the function will be 98.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The function is given below.

f(x) = x³ + 34

The function is defined for the interval of [–3, 4].

The minimum value of the function at x = –3 will be

f(–3) = (–3)³ + 34

f(–3) = –27 + 34

f(–3) = 7

The maximum value of the function at x = 4 will be

f(4) = (4)³ + 34

f(4) = 64 + 34

f(4) = 98

Thus, the minimum value of the function is 7 and the maximum value of the function will be 98.

The graph is given below.

More about the function link is given below.

https://brainly.com/question/5245372

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