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3 years ago

Has two critical points and three possible interval solutions

Mathematics

1 answer:

sergeinik [125]3 years ago

7 0

Answer:

The function f(x)=1−(x+1)

Has 3 critical points x intercept, y intercept

has a critical point and local maximum at c=+1

It would have 3 critical points if the graph showed −2 also as 2 intercepts or curve.

The derivative does not exist when 0 was worked out.

Step-by-step explanation:

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I tried to figure it out but i can't. i need to show the work and i don't know how to do it.

Andreas93 [3]

Integration Formula:

$\int\limits {x}^{n} \, dx =\frac{x^{n+1}}{n+1} + C$

Integrate each term:

$\int\ {x^{2}} \, dx = \frac{x^{3}}{3}$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {5} \, dx = 5x$

$\int\ {x} \, dx =\frac{x^2}{2}$

$\int\ {2} \, dx = 2x$

Altogether this becomes:

$\frac{\frac{x^3}{3} - \frac{x^2}{2}-5x }{ \frac{x^2}{2}+2x}$

Your limits are 1 and 2. Substitute both numbers into the equation and minus them from each other.

x = 2:

$\frac{\frac{2^3}{3} - \frac{2^2}{2}-5(2) }{ \frac{2^2}{2}+2(2)}$

x = 1:

$[tex]\frac{\frac{1}{3} - \frac{1}{2}-5 }{ \frac{1}{2}+2}$ [/tex]

x = 2:

$\frac{\frac{8}{3} - \frac{4}{2}-10 }{ \frac{4}{2}+4}$

x = 1: $\frac{\frac{8}{3} - 2-10 }{ 2+4}$

-1.212317928

Now convert all the answers to integers and see which one matches -1.212317928:

Because it's a negative number, we know it can only be A or B.

(A) = -1.212317928

(B) = -1.19047619

The answer is A: $-\frac{3}{2} +In\frac{4}{3}$

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SashulF [63]

Answer:

Step-by-step explanation:

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