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Which statement is true about the given function?
fx) > 0 over the interval (-0,3).
f(x) > 0 over the interval (-:-).
f(x) <0 over the interval (-0,3).
f(x) <0 over the interval (- : -).

Which statement is true about the given function fx gt 0 over the interval 03 fx gt 0 over the interval fx lt0 over the interval 03 fx lt0 over the interval class=

Respuesta :

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,

[tex]f(x) < 0[/tex] over the interval [tex](-\infty,3)[/tex].

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

[tex]f(x) > 0[/tex] over the interval [tex](3,\infty)[/tex].

Therefore, the correct option is C.

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