Chapter 12.8, Problem 45PPS

To determine

Find the coordinate that represents a maximum for each graph.

Answer to Problem 45PPS

The coordinate for maximum value is $(0,\infty )$ .

Explanation of Solution

Given: It is given in the question that the equation is $y=3\tan (x+\frac{\pi }{2})+2$ .

Concept Used:

In this, use the concept of understanding the equation and find out the maximum and minimum by observing the equation.

Calculation: Here, the given equation is $y=3\tan (x+\frac{\pi }{2})+2$ .

It is a tangent function.

Since, y maximum is $\infty$ , the x − coordinate there could be $\frac{\pi }{2}$ .

This function is moved $\frac{\pi }{2}$ to the left.

So, the maximum value be $(0,\infty )$ .

Conclusion:

The maximum value is $(0,\infty )$ .