Question

In the following exercises,graph each of the following functions.

$f\left(x\right)=e^x+5$

Short answer

The result will be the graph of $f\left(x\right)={(2.3)}^x-3$ as shown below

Step-by-step solution

Step 1.Given information

Consider the given quadratic equation $f\left(x\right)=e^x+5$

To draw the graph,choose some random value(negative,positive or zero) for x and substitute them into the equation and to find$f\left(x\right)$

Step 2.Record the value of ordered pair in the table as shown below.

x	$f\left(x\right)=e^x+5$	$(x,f(x\left)\right)$
-2	$e^{-2}+5\approx 5.1$	$(-2,5.1)$
-1	$e^{-1}+5\approx 5.4$	$(-1,5.4)$
0	$e^0+5=6$	$(0,6)$
1	$e^1+5\approx 7.7$	$(1,7.7)$
2	$e^2+5\approx 12.4$	$(2,12.4)$

Step 3.Now plot ordered pair listed in the third column and connect them with a smooth curve.

The result will be the graph of $f\left(x\right)={(2.3)}^x-3$ as shown below