Question

Which statement is true about the given function?

Answer 1

Answer:

Option C.

Step-by-step explanation:

If the graph of a function f(x) lies above the x-axis, then f(x) > 0.

If the graph of a function f(x) lies below the x-axis, then f(x) < 0.

From the given graph it is clear that the graph of f(x) intersect the x-axis at x=3.

Before x=3 the graph lies below the x-axis. So,

$f(x) < 0$ over the interval $(-\infty,3)$.

After x=3 the graph lies above the x-axis. So,

$f(x) > 0$ over the interval $(3,\infty)$.

Therefore, the correct option is C.