Q. 83 - Precalculus Enhanced with Graphing Utilities

Question

Draw a graph of an equation that contains two $x$-intercepts; at one the graph crosses the $x$-axis, and at the other the graph touches the $x$-axis.

Step-by-Step Solution

Answer

The graph is shown below:

Step 1: Given information

It is given that the graph contain two $x$-intercept, crosses ones at $x$-axis and another touches the $x$-axis.

Step 2: Sketch the graph.

Graph of the function $f\left(x\right)=x(x-2{)}^2$ contains two $x$-intercepts; at one the graph crosses the $x$-axis and at the other the graph touches the $x$-axis.

Step 3: Write the conclusion

The graph is shown below: