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kirill [66]
3 years ago
10

The graph of the function f(x) = –(x + 6)(x + 2) is shown below.Which statement about the function is true?

Mathematics
1 answer:
LekaFEV [45]3 years ago
4 0

Answer:

The first statement is true.

Step-by-step explanation:

The function is f(x) = - (x + 6)(x + 2)  

⇒ f(x) = - x² - 8x - 12

Now, condition for a function f(x) to be increasing at x = a is f'(a) > 0.

Now, f(x) = - x² - 8x - 12

⇒ f'(x) = -2x - 8 {Differentiating with respect to x}

Now, f'(a) = -2a - 8 {Here a can be any real value}

And, the condition for increasing function at x = a is  

- 2a - 8 > 0

⇒ - 2a > 8

⇒ a < - 4

Therefore, the first statement is true i.e. the function is increasing for all real values of x where  x < – 4. (Answer)

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Identify the domain and range of each graph
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Answer:

Step-by-step explanation:

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3 0
3 years ago
The sum of three numbers is 24. Twice the middle number is 2 more than the largest number, and the largest number is equal to th
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Answer:

  • x = 5, y = 7, z = 12

Step-by-step explanation:

<u>Let the numbers be x, y and z</u>

  • x + y + z = 24
  • 2y = z + 2
  • z = x + y

<u>Solving by substitution:</u>

  • x + y + z = z + z = 24
  • 2z = 24
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<u>The answer:</u>

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