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VLD [36.1K]
3 years ago
11

NEED HELPPPPPPP!!!!!!! PLEASE!!!!!!!!

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
4 0

Firstly, simplife the function -x^3-x^2+4x+4 in the following way:

-x^3-x^2+4x+4=-(x^3+x^2)+4(x+1)=-x^2(x+1)+4(x+1)=(x+1)(4-x^2)=(x+1)(2-x)(2+x)=-(x+2)(x+1)(x-2).

There are three x-intercepts: x=-1; x=2 and x=-2 (therefore, options A and D are incorrect).

Since before brackets is sign "-", you should state that graph starts down on the left (you can check this substituting smaller negative number than -2 into function expression. For example, if x=-10, then f(-10)=-(-10+2)(-10+1)(-10-2)=-(-8)(-9)(-12)>0) and goes up on the right (you can check this substituting greater positive number than 2 into function expression. For example, if x=10, then f(-10)=-(10+2)(10+1)(10-2)=-(12)(11)(8)<0).

Answer: correct choice is B.

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Answer:

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Step-by-step explanation:

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2 years ago
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The values of x at wich F(x) has local minimums are x = -2 and x = 4, and the local minimums are:

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<h3>What is a local maximum/minimum?</h3>

A local maximum is a point on the graph of the function, such that in a close vicinity it is the maximum value there. So, on an interval (a, b) a local maximum would be F(c) such that:

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A local minimum is kinda the same, but it must meet the condition:

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A) We can see two local minimums, we need to identify at which values of x do they happen.

The first local minimum happens at x = -2

The second local minimum happens at x = 4.

B) The local minimums are given by F(-2) and F(4), in this case, the local minimums are:

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If you want to learn more about minimums/maximums, you can read:

brainly.com/question/2118500

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2 years ago
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