analyzing graphs to determine important features\nwhich statement is true about the given function?\n○…

analyzing graphs to determine important features\nwhich statement is true about the given function?\n○ f(x)>0 over the interval (-∞, 3).\n○ f(x)>0 over the interval (-∞, ∞).\n○ f(x)<0 over the interval (-∞, 3).\n○ f(x)<0 over the interval (-∞, ∞).

analyzing graphs to determine important features\nwhich statement is true about the given function?\n○ f(x)>0 over the interval (-∞, 3).\n○ f(x)>0 over the interval (-∞, ∞).\n○ f(x)<0 over the interval (-∞, 3).\n○ f(x)<0 over the interval (-∞, ∞).

Answer

Answer:

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

Explanation:

Step1: Observe the graph

Check the $y -$ values for $x\in(-\infty,3)$.

Step2: Analyze $y -$ values

For all $x$ values less than 3, the graph lies below the $x -$ axis, so $y=f(x)<0$.

Step3: Eliminate other options

The graph has positive $y -$ values for $x > 3$, so options with $f(x)>0$ over $(-\infty,3)$ or $(-\infty,\infty)$ are wrong, and the graph is not always negative over $(-\infty,\infty)$.