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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.    

You might be interested in
I tried this few times can i get some help
mihalych1998 [28]

Answer:

Y=4 X= -6 or (-6,4)

Step-by-step explanation:

Okay so

3x+10y=22

-3x-8y=-14

  1. basically, it's like one big equation. First, subtract 3x from -3x which cancels out and gives us 0
  2. 10y minus 8y gives us 2y.
  3. 22 minus 14 gives us 8

3x+10y=22

<u>-3x-8y=-14</u>

0+2y=8

Now that we have this, we can solve for y. in order to do this, we have to divide both sides by 2.

\frac{2y}{2}  =  \frac{8}{2}

From here we know that y=4 because the 2s cancel out leaving y and 8 divided by 2 is 4.

y= 4

Now we can fill in. You can pick any equation for this but I'm going to chose the first one.

3x+10y=22

we can fill in 4 for y

3x+10(4)=22

3x+40=22

Next we are going to subtract 40 on both sides.

3x+40=22

-40 -40

3x= -18

Next, we're going to divide -18 by 3.

\frac{3x}{3}  =  \frac{  - 18}{3}

The 3s cancel out leaving us x. -18 divided by 3 is -6.

x= -6

Hope this helped!! :)

6 0
3 years ago
The product of two consecutive even integers is 14 more than their sum. Find the integers
sukhopar [10]
4 and 6! 

4*6 = 24

24 - 14 = 10

4 + 6 = 10
5 0
3 years ago
Three consecutive even integers have a sum of -126. What is the smallest integer ?
SSSSS [86.1K]

Answer:

-40, - 42 and -44

Step-by-step explanation:

The fastes way here is trying. Lets pick a number, intelligently, and then work on it.

We need three even integers that sum -126. These will be all negative numbers and as they are consecutive they will be very similar (for example, -33 and -35 and -37). Thus, lets start by 1/3 of -126, which is -42:

(-42)+ (-44) + (-46) = - 132, so -42 no.

Lets go a step back: -40

(-40) + (-42) + (-44) = -126

So, the integers are -40, -42 and -44

5 0
3 years ago
Anyone know these answers
qaws [65]

Answer:

Step-by-step explanation:

8 0
2 years ago
Evaluate x2/y + x2/z for x = 6, y = -4, and z = -2.
8_murik_8 [283]

Answer:

-27

Step-by-step explanation:

6^2=36

36/-4=-9

36/-2=-18

-9+-18=-9-18=-27

7 0
3 years ago
Read 2 more answers
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