Question

Given this graph and f(x)=<0 what are the values of x?

Answer 1

`3\leq x\leq11`

Step-by-step explanation

We want to find the interval on the domain of the function where:

`f(x)\leq0`

The graph of a function is less than or equal to 0 when the graph lies on and below the x-axis (horizontal axis).

From the given graph, we see that between x = 3 and x = 11, the graph of the function is on and below the x-axis.

Hence, the interval for the given condition is:

`\begin{gathered} x\ge3\text{ and }x\leq11 \\ \\ 3\leq x\leq11 \end{gathered}`

That is the answer.