select the correct answer.\ndetermine the interval where the graph of the function is positive.\n\n$\bigcirc$…

select the correct answer.\ndetermine the interval where the graph of the function is positive.\n\n$\bigcirc$ $1 < x < 2$\n$\bigcirc$ $-\\infty < x < \\infty$\n$\bigcirc$ $2 < x < \\infty$\n$\bigcirc$ $0 < x < \\infty$

select the correct answer.\ndetermine the interval where the graph of the function is positive.\n\n$\bigcirc$ $1 < x < 2$\n$\bigcirc$ $-\\infty < x < \\infty$\n$\bigcirc$ $2 < x < \\infty$\n$\bigcirc$ $0 < x < \\infty$

Answer

Explanation:

Step1: Identify positive graph region

A function's graph is positive where it lies above the x-axis (where $y>0$).

Step2: Analyze the graph's domain

The graph exists only for $x>0$ (it has a vertical asymptote at $x=0$, so $x$ cannot be 0 or negative). For all $x>0$, the graph stays above the x-axis, with $y$ values always greater than 0.

Step3: Match to the option

The interval where $x>0$ is written as $0 < x < \infty$.

Answer:

$\boldsymbol{0 < x < \infty}$