Question

Which statement is true about the given function?

a) f(x) > 0 over the interval (–infinity, 3).
b) f(x) > 0 over the interval (–infinity, infinity).
c) f(x) < 0 over the interval (–infinity, 3).
d) f(x) < 0 over the interval (–infinity, infinity).

Answer 1

Answer:

C. is the correct answer. I just answered that question with that answer and got it right.

Step-by-step explanation:

Correct answer.

C. f(x) < 0 over the interval (-infinity, 3).

Answer 2

Answer:

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

Step-by-step explanation:

From the given graph,

Observe the graph over the interval $(-\infty,3)$.

Function $f(x)$ is below the x-axis in the interval $(-\infty,3)$. Thus, $f(x) < 0$.

Hence, Option (a) is false and option (c) is true.

Observe the graph over the interval $(-\infty,\infty)$.

Function $f(x) < 0$ in the interval $(-\infty,3)$ and $f(x) > 0$ in the interval $(3, \infty)$.

Thus, Option (b) and option (d) are false.

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