Chapter 6.4, Problem 25E

To determine

To find: The error and redraw the graph correctly.

Answer to Problem 25E

The exponential graph of the function $f\left(x\right)$ is vertically translated by the 3 unit and horizontally translated by 2 unit.

Explanation of Solution

Given information:

The given functions is $f\left(x\right)=2^x+3$ .

Consider thegiven functions is $f\left(x\right)=2^x+3$ .

In the problem the given graph of the function is

  

Here the graph of $f\left(x\right)$ is an exponential graph meet the y axis at 8. But according to the function the graph should be shifted vertically by 3 unit and horizontally by 2 unit which is not followed by the given graph.

Thus, the given graph is incorrect.

Now, redraw the graph of the function $f\left(x\right)=2^x+3$ .

  

Hence, the exponential graphof the function $f\left(x\right)$ isvertically translated by the 3 unit and horizontally translated by 2 unit.