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: Identify points on original graph

First, find at least 5 points on the given graph. Let's assume some visible points (since the graph is a curve, we can pick points by looking at intersections or key locations). For example, suppose the original graph has points like \((-10, -3)\), \((-5, -4)\), \((0, -3)\), \((3, -6)\), \((4, -8)\) (these are approximate based on the graph's shape; actual points depend on precise plotting, but the method is to swap \(x\) and \(y\) for inverse).

Step2: Swap x and y for inverse points

To find the inverse function's graph, we swap the \(x\) and \(y\) coordinates of each point. So:

• For \((-10, -3)\), inverse point is \((-3, -10)\)
• For \((-5, -4)\), inverse point is \((-4, -5)\)
• For \((0, -3)\), inverse point is \((-3, 0)\)
• For \((3, -6)\), inverse point is \((-6, 3)\)
• For \((4, -8)\), inverse point is \((-8, 4)\)

Step3: Plot the inverse points

Now, plot these swapped points \((-3, -10)\), \((-4, -5)\), \((-3, 0)\), \((-6, 3)\), \((-8, 4)\) on the same set of axes. The graph of the inverse will be the reflection of the original graph over the line \(y = x\).

Answer:

To graph the inverse, follow these steps:

1. Identify 5 (or more) points on the original graph (e.g., approximate points: \((-10, -3)\), \((-5, -4)\), \((0, -3)\), \((3, -6)\), \((4, -8)\)).
2. Swap the \(x\)- and \(y\)-coordinates of each point to get inverse points: \((-3, -10)\), \((-4, -5)\), \((-3, 0)\), \((-6, 3)\), \((-8, 4)\).
3. Plot these inverse points on the axes and draw the curve through them (reflecting the original graph over \(y = x\)).

(Note: The exact points depend on the precise coordinates of the original graph; the key is swapping \(x\) and \(y\) for each point to find the inverse’s graph.)