Question

graph the inverse of the provided graph on the accompanying set of axes. you must plot at least 5 points. click the graph to make a point. click it again to erase.

Explanation:

Step1: Recall inverse function graph rule

To graph the inverse of a function, we reflect the points of the original function over the line \( y = x \). This means for a point \((a, b)\) on the original function, the corresponding point on the inverse function will be \((b, a)\).

Step2: Identify points on original graph

First, we need to find at least 5 points on the given linear graph. Let's assume we can identify the following points (by looking at the graph, we can estimate coordinates; let's say the original line passes through some points, for example, let's suppose we find these points on the original graph: \((-9, 4)\), \((-4, 3)\), \((1, 2)\), \((6, 1)\), \((11, 0)\) (these are just example points, we need to actually read from the graph, but the process is the same).

Step3: Find inverse points

For each point \((a, b)\) on the original graph, the inverse point is \((b, a)\). So:

• For \((-9, 4)\), inverse is \((4, -9)\)
• For \((-4, 3)\), inverse is \((3, -4)\)
• For \((1, 2)\), inverse is \((2, 1)\)
• For \((6, 1)\), inverse is \((1, 6)\)
• For \((11, 0)\), inverse is \((0, 11)\)

Step4: Plot inverse points

Now, we plot these inverse points \((4, -9)\), \((3, -4)\), \((2, 1)\), \((1, 6)\), \((0, 11)\) on the same set of axes and draw a line through them. This line will be the graph of the inverse function.

Answer:

To graph the inverse, follow these steps:

1. Identify 5 points on the original linear graph (e.g., estimate coordinates like \((x_1, y_1), (x_2, y_2), \dots\) from the graph).
2. Reflect each point over \( y = x \): for a point \((a, b)\), the inverse point is \((b, a)\).
3. Plot the inverse points (e.g., if original points are \((-9, 4), (-4, 3), (1, 2), (6, 1), (11, 0)\), inverse points are \((4, -9), (3, -4), (2, 1), (1, 6), (0, 11)\)) and draw a line through them.

(Note: Actual coordinates depend on the exact original graph; use the reflection over \( y = x \) to find inverse points and plot them.)