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 (-∞, -2.7) and (0.8, ∞)\n○ f(x) < 0 over the intervals (-∞, -2.7) and (-1, 0.8)\n○ f(x) > 0 over the intervals (-∞, -2.7) and (-1, 0.8)\n○ f(x) > 0 over the intervals (-∞, -1) and (0.8, ∞)

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

Answer

Explanation:

Step1: Analyze when $f(x)<0$

The function $y = f(x)$ is below the $x -$axis (where $y = 0$) when $x\in(-2, - 1)$ and $x\in(0,1)$.

Step2: Analyze when $f(x)>0$

The function $y = f(x)$ is above the $x -$axis when $x\in(-\infty,-2)$ and $x\in(-1,0)$ and $x\in(1,\infty)$.

Answer:

$f(x)>0$ over the intervals $(-\infty,-2)$ and $(-1,0.8)$