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: when select choice
negative: when select choice

Explanation:

Step1: Find x-intercept

The x-intercept is where the line crosses the x-axis. From the graph, this occurs at $x=-1$, so the x-intercept is $(-1, 0)$.

Step2: Find y-intercept

The y-intercept is where the line crosses the y-axis. From the graph, this occurs at $y=3$, so the y-intercept is $(0, 3)$.

Step3: Identify positive interval

The function is positive where its graph is above the x-axis. This happens when $x > -1$.

Step4: Identify negative interval

The function is negative where its graph is below the x-axis. This happens when $x < -1$.

Answer:

x-intercept(s): $(-1, 0)$
y-intercept: $(0, 3)$
positive: when $x > -1$
negative: when $x < -1$