Chapter 12.3, Problem 9MRE

To determine

Find the zeroes of the function:

  $H(x)={\left(\frac{1}{2}\right)}^x$

Answer to Problem 9MRE

No solution

Explanation of Solution

Given:

  $H(x)={\left(\frac{1}{2}\right)}^x$

Calculation:

Zeroes of a function are the values at which the function’s value is 0.

  ${\left(\frac{1}{2}\right)}^x=0$

Since the graph of this function will never intersect x -axis , but will just approach x -axis as limit of x tends to infinity.

So, there is no solution.

The graph is :