Q. 71 - Precalculus Enhanced with Graphing Utilities

Question

The graph of an equation is given. List the intercepts of the graph.

Step-by-Step Solution

Answer

The intercept of the graph are $\left(\frac{\mathrm{\pi }}{2},0\right), \left(-\frac{\mathrm{\pi }}{2},0\right) \mathrm{and} \left(0,1\right)$.

Step 1 given information.

The graph of an equation is given. List the intercepts of the graph. 

Step 2. Definition of intercept.

The points, if any, at which a graph crosses or touches the coordinate axes are called the intercepts. The x-coordinate of a point at which the graph crosses or touches the x-axis is an x-intercept, and the y-coordinate of a point at which the graph crosses or touches the y-axis is a y-intercept. 

Step 3. Locate intercept from the graph.

The intercepts of the graph are the points$\left(\frac{\mathrm{\pi }}{2},0\right), \left(-\frac{\mathrm{\pi }}{2},0\right) \mathrm{and} \left(0,1\right).$

The x-intercepts are $\left(\frac{\mathrm{\pi }}{2},0\right) \mathrm{and} \left(-\frac{\mathrm{\pi }}{2},0\right)$. The y-intercept  is $\left(0,1\right)$.

Step. Conclusion.

The intercept of the graph are $\left(\frac{\mathrm{\pi }}{2},0\right), \left(-\frac{\mathrm{\pi }}{2},0\right) \mathrm{and} \left(0,1\right)$.