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Jlenok [28]
3 years ago
14

Can someone help me I don’t know how to do this it’s hard and confusing me

Mathematics
1 answer:
Svetach [21]3 years ago
4 0

9514 1404 393

Answer:

  • increasing on 0 < x < 2
  • f(2) = 4
  • decreasing on 2 < x < 5

Step-by-step explanation:

You need to know that an even function is symmetrical about the y-axis. The graph to the right of the y-axis is the mirror image of the graph to the left. With that in mind, the questions are easily answered.

It might help to draw the function graph, as we did in the attached. Then it is more straightforward to see what is happening in each of the intervals.

The function is increasing in the interval 0 < x < 2.

The function value at x=2 is 4: f(2) = 4.

The function is decreasing in the interval 2 < x < 5.

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4.Which of the following are most likely factors of the function graphed above?
andrew11 [14]

4)

In the graph we can see that the graph intersects the x axis at -5 & 1

So x = -5     or   x= 1

Hence

x +5 = 0    or    x -1 = 0

Multiplying them we get

(x+5)(x-1) are the correct factors

Option C) is the right answer

5)

We have

x² - 10x + 24=0

We need two numbers which add to give -10 & multiply to give 24.

The numbers are -6 & -4

We split the term -10x

We get

x² -6x-4x+24=0

x(x-6)-4(x-6)=0

(x-6)(x-4)=0

Using Zero Product rule

x-6 = 0 or   x-4=0

x = 6 or  x = 4

Option C) is the right answer.

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3 years ago
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The answer is:  $ 41.60  .

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