using a graph to find positive or negative intervals\nwhich statement is true about the given function?\n○…

using a graph to find positive or negative intervals\nwhich statement is true about the given function?\n○ (f(x)<0) over the intervals ((-infty,-2.7)) and ((0.8,infty)).\n○ (f(x)<0) over the intervals ((-infty,-2.7)) and ((-1,0.8)).\n○ (f(x)>0) over the intervals ((-infty,-2.7)) and ((-1,0.8)).\n○ (f(x)>0) over the intervals ((-infty,-1)) and ((0.8,infty)).

using a graph to find positive or negative intervals\nwhich statement is true about the given function?\n○ (f(x)<0) over the intervals ((-infty,-2.7)) and ((0.8,infty)).\n○ (f(x)<0) over the intervals ((-infty,-2.7)) and ((-1,0.8)).\n○ (f(x)>0) over the intervals ((-infty,-2.7)) and ((-1,0.8)).\n○ (f(x)>0) over the intervals ((-infty,-1)) and ((0.8,infty)).

Answer

Explanation:

Step1: Analyze the graph

Observe where the graph is above and below the x - axis.

Step2: Identify positive intervals

The function (y = f(x)) is positive ((f(x)>0)) when the graph is above the x - axis. This occurs for (x\in(-\infty,-2.7)\cup(-1,0.8)).

Step3: Identify negative intervals

The function (y = f(x)) is negative ((f(x)<0)) when the graph is below the x - axis. This occurs for (x\in(-2.7,-1)\cup(0.8,\infty)).

Answer:

(f(x)>0) over the intervals ((-\infty,-2.7)) and ((-1,0.8))