Question

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

Answer 1

Answer:

The correct option is A.

Step-by-step explanation:

The given function is

$f(x)=(x-3)(x+1)$

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

$0=(x-3)(x+1)$

$x=3,-1$

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.

Answer 2

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