Question

In the following exercises, graph, on the same coordinate system, the inverse of the one-to-one function shown.

Short answer

The required graph is

Step-by-step solution

Step 1. Given and explanation.

We have a graph. we know the points on the graph. we will find the inverse of the function by exchanging the place of the co-ordinates as it is one to one function.

Then by plotting them on the graph will give us the graph of the inverse function of the graph.

We will trace a line which will show that the original graph and the inverse graph are the mirror images of each other.

Step 2. Finding the inverse.

We have a graph with points as $(4,4),(1,3),(0,1),(-1,-3),(-4,-4)$.

The inverse function for these points will have such points on its graph-$(4,4),(3,1),(1,0),(-3,-1),(-4,-4)$.

Step 3. Sketching the graph.

We will plot the points on the graph and join points by lines. We will get the graph of the inverse of the given graph as-

By drawing a line between them, we show that the inverse graph is the mirror image of the given graph.