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The graph of the function f(x) = (x − 3)(x + 1) is shown.


Which describes all of the values for which the graph is positive and decreasing?

A.all real values of x where x < −1
B.all real values of x where x < 1
C.all real values of x where 1 < x < 3
D.all real values of x where x > 3

The graph of the function fx x 3x 1 is shown Which describes all of the values for which the graph is positive and decreasing Aall real values of x where x lt 1 class=

Respuesta :

There's an error in the graph, but the answer is A.

Answer:

The correct option is A.

Step-by-step explanation:

The given function is

[tex]f(x)=(x-3)(x+1)[/tex]

Equate f(x)=0 to find the x-intercepts of the function.

[tex]0=(x-3)(x+1)[/tex]

[tex]x=3,-1[/tex]

The x-intercepts of the function are -1 and 3. From the below graph it is clear that,

In x<-1, the function is positive and decreasing.

In -1<x<1, the function is negative and decreasing.

In 1<x<3, the function is negative and increasing.

In x>3, the function is positive and increasing.

Therefore the correct option is A.

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