Question

use the graph to estimate the x - and y - intercepts of the function and describe where the function is positive and negative. x - intercept(s): select choice y - intercept: select choice positive: select choice negative: select choice

Explanation:

Step1: Find x - intercepts

The x - intercepts are the points where the graph crosses the x - axis. From the graph, the x - intercepts are approximately $x=-4$ and $x = 0$.

Step2: Find y - intercept

The y - intercept is the point where the graph crosses the y - axis. From the graph, the y - intercept is approximately $y=-8$.

Step3: Determine where function is positive

The function is positive when the graph is above the x - axis. So, the function is positive on the interval $(-4,0)$.

Step4: Determine where function is negative

The function is negative when the graph is below the x - axis. So, the function is negative on the intervals $(-\infty,-4)\cup(0,\infty)$.

Answer:

x - intercept(s): $x=-4, x = 0$
y - intercept: $y=-8$
positive: $(-4,0)$
negative: $(-\infty,-4)\cup(0,\infty)$