Question

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

$g\left(x\right)={(2.3)}^x-3$

Short answer

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

Step-by-step solution

Step 1.Given information

Consider the given quadratic equation $g\left(x\right)={(2.3)}^x-3$.

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

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

x	$g\left(x\right)={(2.3)}^x-3$	$(x,g(x\left)\right)$
$-2$	${(2.3)}^{-2}-3=-2.8$	$(-2,-2.8)$
$-1$	${(2.3)}^{-1}-3=-2.6$	$(-1,-2.6)$
$0$	${(2.3)}^0-3=-2$	$(0,-2)$
1	${(2.3)}^1-3=-0.7$	$(1,-0.7)$
2	${(2.3)}^2-3=2.29$	$(2,2.29)$

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 $g\left(x\right)={(2.3)}^x-3$ as shown below