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 ((-infty,3)).\n○ (f(x)>0) over the interval ((-infty,infty)).\n○ (f(x)<0) over the interval ((-infty,3)).\n○ (f(x)<0) over the interval ((-infty,infty)).

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

Answer

Explanation:

Step1: Understand function - value sign

The function (y = f(x)) is positive when (y>0) (above the (x -)axis) and negative when (y < 0) (below the (x -)axis).

Step2: Analyze the graph

Looking at the graph, the function (y=f(x)) is below the (x -)axis (i.e., (f(x)<0)) for (x\in(-\infty, 3)) and above the (x -)axis (i.e., (f(x)>0)) for (x\in(3,\infty)).

Answer:

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