Q. 61 - Precalculus Enhanced with Graphing Utilities

Question

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

$y=x^3$

Step-by-Step Solution

Answer

The graph of the equation is shown below:

Step 1: Given information

The given function is $y=x^3$.

Step 2: Make a x y table.

$x$	$y$
$-1.5$	${\left(-1.5\right)}^3=-3.375$
$-1$	${\left(-1\right)}^3=-1$
$0$	$0^3=0$
$1$	=$1^3=1$
$1.15$	${\left(1.5\right)}^3=3.375$

Step 3: Plot the points.

Plot the points from the table.

Step 4: Joint the points

The graph is shown below:

Step 5: Write the conclusion

The final graph of the given equation is shown below: