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graph of the quadratic function f(x)=‒(x+4)(x‒6) is shown on the coordinate grid below.


Which statement is not true?
A.
The maximum of this function occurs when y=25.
B.
The function increases in the interval 1 to 6.
C.
The has a zero at (‒4,0).
D.
The function positive in the interval ‒4 to 6.

graph of the quadratic function fxx4x6 is shown on the coordinate grid below Which statement is not true A The maximum of this function occurs when y25 B The fu class=

Respuesta :

the correct answer is c because zero wasnt incluing and it said positive 4 to -6

Answer:

Option B is not true.

Step-by-step explanation:

The quadratic function is f(x) = -(x + 4)(x - 6)

Now we check each option given

Option A.

It is clear from the graph function is maximum at y = 25.

TRUE.

Option B.

Function increases in the interval 1 to 6.

Let's check this at x = 2 and x = 3

f(2) = -(2 + 4)(2 - 6)

     = -(6)(-4)

     = 24

f(3) = -(3 + 4)(3 - 6)

     = - (7)(-3)

     = 21

So we find this function is decreasing in this interval.

So the given option is FALSE.

Option C.

The function has a zero at (-4, 0)

f(-4) = -(-4 + 4)(-4 + 6) = 0

So the function has a zero at (-4, 0).

Option is True.

Option D.

The function is positive in the interval -4 to 6

f(x) = -(x + 4)(x - 6)

f(-3) = -(-3 + 4)(-3 - 6)

      = -(1)(-9)

      = 9

f(0) = -(0 + 4)( 0 - 6)

     = 24

Therefore, this function is positive in this interval so the option is TRUE.

Option B is not true.

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