Respuesta :

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

if f(x)=0

if we let y=f(x)

then,

y=0,

So, that means when f(x) touches the x-axis,

According to the graph, we get that

At x= -2 f(x)=0

As xi negative in Second quadrant , and here we can see that f(x) touches the x-axis and intersect it.

At x=1, f(x)=0

At x=3, f(x)=0.

In above cases 'x' is positive, so, x lies in First quadrant, here too f(x) crosses the x-axis twice.

Hence, Third option is correct.

Answer:

Third option (–2, 1, or 3) is correct.

Step-by-step explanation:

The given: if [tex]f(x)=0[/tex]

we need to find the points on  [tex]x[/tex], when  [tex]f(x)=0[/tex]

Since, [tex]y=f(x)[/tex]

then,

[tex]y=0[/tex]

This means f(x) touches the x-axis

In provided graph, we can see at [tex]x= -2,1\; or 3[/tex] the [tex]y=f(x)=0[/tex]

Hence, Third option (–2, 1, or 3) is correct.