Q. 21 - Calculus

Question

For each of the following sign charts, sketch the graph of a function f that has the indicated signs, zeros, and discontinuities: 

Step-by-Step Solution

Answer

The graph of a function f that has the indicated signs, zeros, and discontinuities is

Step 1. Given Information.

The given sign chart is

Step 2. Sketch the graph.

From the sign chart, we can depict that it has three zeros $0,1, \mathrm{and} 3.$

The graph is positive on the interval $\left[0,1\right] \mathrm{and} \left[1,3\right]$ and negative on the interval $\left[-\infty ,0\right] \mathrm{and} \left[3,\infty \right].$

The graph is