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Darya [45]
3 years ago
15

find the local and/or absolute extrema for the function over the specified domain. (Order your answers from smallest to largest

x.) f(x)

Mathematics
1 answer:
Arlecino [84]3 years ago
5 0

Answer:

Minimum 8 at x=0, Maximum value: 24 at x=4

Step-by-step explanation:

Retrieving data from the original question:

f(x)=x^{2}+8\:over\:[-1,4]

1) Calculating the first derivative

f'(x)=2x

2) Now, let's work to find the critical points

Set this

2x=0\\x=0    

0, belongs to the interval. Plug it in the original function

f(0)=(0)^2+8\\f(0)=8

3)  Making a table x, f(x) then compare

x|  f(x)

-1 | f(-1)=9  

0 | f(0)=8   Minimum

4 | f(4)=24 Maximum

4) The absolute maximum value is 24 at x=4 and the absolute minimum value is 8 at x=0.    

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vovikov84 [41]

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5 0
2 years ago
4. Which of the following describes all the solutions of -4x + 2y > 12 when y = 4?
Alja [10]

Answer:

Option B is correct

Step-by-step explanation:

Given data

We are given the expression

-4x + 2y > 12

We want to substitute y=4 into the expression

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divide both sides by -4

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x>-1

Hence option B is correct

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