Chapter 8, Problem 2PT

To determine

To find: The domain and range of the given function.

Answer to Problem 2PT

The domain is $x=R$ and range is $y\ge 1$ .

Explanation of Solution

Given:

The given function is,

  $f\left(x\right)=2{\left(\frac{3}{4}\right)}^{x+1}-3$

Calculation:

The graph of the function is drawn as,

  

From the above graph, it is concluded that the value of x has positive and negative integers and hence the domain is all real numbers. The values of y are greater than -1 so the range is all integers greater than -1.

Thus, the domain is $x=R$ and range is $y\ge 1$ .