Question

In Problems 61, draw a quick sketch of each equation.

$y=x^3$

Short answer

The graph of the equation is shown below:

Step-by-step solution

Given information

The given function is$y=x^3$.

Make a xy table.

$x$	$y$
$-1.5$	localid="1646051180584" ${\left(-1.5\right)}^3=-3.375$
$-1$	localid="1646051079101" ${\left(-1\right)}^3=-1$
$0$	localid="1646051087738" $0^3=0$
$1$	=localid="1646051099427" $1^3=1$
$1.15$	localid="1646051112233" ${\left(1.5\right)}^3=3.375$

Plot the points.

Plot the points from the table.

Joint the points

The graph is shown below:

Write the conclusion

The final graph of the given equation is shown below: