Question

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

$g\left(x\right)={(0.75)}^x$.

Short answer

The result will be the graph of $g\left(x\right)={(0.75)}^x$ as shown below.

Step-by-step solution

Step 1.Given information

Consider the given quadratic equation $g\left(x\right)={(0.75)}^x$.

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	$g\left(x\right)={(0.75)}^x$	$(x,g(x\left)\right)$
-2	${(0.75)}^{-2}\approx 1.8$	$(-2,1.8)$
-1	${(0.75)}^{-1}\approx 1.3$	$(-1,1.3)$
0	${(0.75)}^0=1$	$(0,1)$
1	${(0.75)}^1=0.75$	$(1,0.75)$
2	${(0.75)}^2=0.5625$	$(2,0.5625)$

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 $g\left(x\right)={(0.75)}^x$ as shown below.