Question

O GRAPHS AND FUNCTIONSFinding values and intervals where the graph of a functioning is..

Answer 1

a.

From the graph we notice that when x=-1 the value of the function is zero; therefore:

`f(-1)=0`

and it is not negative.

b.

The function is positive when its graph is above the x-axis. We notice that this happens in two regions of the graph:

From -4 to -3

From -1 to 4

Therefore, the function is positive in:

`\lbrack-4,-3)\cup(-1,4)`

c.

The function is zero when the graph intersect the x-axis; from the graph we have that the function is zero for:

`\begin{gathered} x=-3 \\ x=-1 \\ x=4 \end{gathered}`