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
need help?

Explanation:

Step1: Find 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 \(x = 1\) (assuming the grid has integer coordinates and the intersection is at \((1,0)\)). So the x - intercept is \((1,0)\) or \(x = 1\).

Step2: Find 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 \(y=-2\) (assuming the grid has integer coordinates and the intersection is at \((0, - 2)\)). So the y - intercept is \((0,-2)\) or \(y=-2\).

Step3: Determine where the function is positive

A function is positive when its graph is above the x - axis. Looking at the graph, the line has a positive slope. For \(x>1\), the graph is above the x - axis, so the function is positive when \(x > 1\).

Step4: Determine where the function is negative

A function is negative when its graph is below the x - axis. Looking at the graph, for \(x<1\), the graph is below the x - axis, so the function is negative when \(x < 1\).

Answer:

x - intercept: \((1,0)\) (or \(x = 1\))
y - intercept: \((0,-2)\) (or \(y=-2\))
Positive: when \(x>1\)
Negative: when \(x < 1\)