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: Identify x - intercept

The x - intercept is the point where the graph crosses the x - axis. From the graph, the line crosses the x - axis at the origin $(0,0)$. So the x - intercept is $x = 0$.

Step2: Identify y - intercept

The y - intercept is the point where the graph crosses the y - axis. From the graph, the line crosses the y - axis at the origin $(0,0)$. So the y - intercept is $y = 0$.

Step3: Determine where the function is positive

The function is positive when the graph is above the x - axis. Looking at the graph, the function is positive for $x>0$.

Step4: Determine where the function is negative

The function is negative when the graph is below the x - axis. Looking at the graph, the function is negative for $x < 0$.

Answer:

x - intercept: $x = 0$; y - intercept: $y = 0$; positive: $x>0$; negative: $x < 0$