over what interval is the graph positive?\n(a) $(-\\infty, - 5)$ and $(-1,\\infty)$\n(b) $(-5,-1)$\n(c)…
over what interval is the graph positive?\n(a) $(-\\infty, - 5)$ and $(-1,\\infty)$\n(b) $(-5,-1)$\n(c) $(-\\infty,-3)$\n(d) $(-3,\\infty)$
Answer
Explanation:
Step1: Understand positive - value concept
A graph is positive when (y>0), i.e., the part of the graph above the (x) - axis.
Step2: Identify intersection points with (x) - axis
The graph intersects the (x) - axis at (x = - 5) and (x=-1).
Step3: Determine positive interval
The part of the graph above the (x) - axis is between (x=-5) and (x = - 1). So the interval where (y>0) is ((-5,-1)).
Answer:
B. ((-5,-1))