Which statement about the function is true?

O

The function is positive for all real values of x where

X<-1.

The function is negative for all real values of x where

x <-3 and where r> 1.

The function is positive for all real values of r where

x > 0.

The function is negative for all real values of r where

x<-3 or r>-1.

O

O

Respuesta :

Answer:

d. The function is negative for all real values of x where  x<-3 or x>-1.

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photos.  

My answer:

Given the Quadratic function as following:

f(x) = –(x + 3)(x – 1)

As we can see, the graph of the function is a downward parabola because the parameter a = -1 is negative.

It's root are -3 and 1.

Let analyse 4 answers:

  • a. The function is positive for all real values of x where  X<-1.

Wrong, The function is positive where -3 < x < -1

  • b. The function is negative for all real values of x where  x <-3 and where x> 1.

wrong, where where x> -1.  the function is negative

  • c. The function is positive for all real values of x where x > 0.

Wrong. The function is negative  for all real values of x where x > 0.

  • d. The function is negative for all real values of x where  x<-3 or x>-1.

True, as it can be seen in the photo.

Hope it will find you well.

Ver imagen thaovtp1407
Ver imagen thaovtp1407