Algebra Examples

Graph y=1/2x^3
Step 1
Find the point at .
Tap for more steps...
Step 1.1
Replace the variable with in the expression.
Step 1.2
Simplify the result.
Tap for more steps...
Step 1.2.1
Cancel the common factor of and .
Tap for more steps...
Step 1.2.1.1
Rewrite as .
Step 1.2.1.2
Apply the product rule to .
Step 1.2.1.3
Raise to the power of .
Step 1.2.1.4
Factor out of .
Step 1.2.1.5
Cancel the common factors.
Tap for more steps...
Step 1.2.1.5.1
Factor out of .
Step 1.2.1.5.2
Cancel the common factor.
Step 1.2.1.5.3
Rewrite the expression.
Step 1.2.1.5.4
Divide by .
Step 1.2.2
Simplify the expression.
Tap for more steps...
Step 1.2.2.1
Rewrite as .
Step 1.2.2.2
Raise to the power of .
Step 1.2.2.3
Multiply by .
Step 1.2.3
The final answer is .
Step 1.3
Convert to decimal.
Step 2
Find the point at .
Tap for more steps...
Step 2.1
Replace the variable with in the expression.
Step 2.2
Simplify the result.
Tap for more steps...
Step 2.2.1
Raising to any positive power yields .
Step 2.2.2
Divide by .
Step 2.2.3
The final answer is .
Step 2.3
Convert to decimal.
Step 3
Find the point at .
Tap for more steps...
Step 3.1
Replace the variable with in the expression.
Step 3.2
Simplify the result.
Tap for more steps...
Step 3.2.1
Cancel the common factor of and .
Tap for more steps...
Step 3.2.1.1
Factor out of .
Step 3.2.1.2
Cancel the common factors.
Tap for more steps...
Step 3.2.1.2.1
Factor out of .
Step 3.2.1.2.2
Cancel the common factor.
Step 3.2.1.2.3
Rewrite the expression.
Step 3.2.1.2.4
Divide by .
Step 3.2.2
Raise to the power of .
Step 3.2.3
The final answer is .
Step 3.3
Convert to decimal.
Step 4
Find the point at .
Tap for more steps...
Step 4.1
Replace the variable with in the expression.
Step 4.2
Simplify the result.
Tap for more steps...
Step 4.2.1
Raise to the power of .
Step 4.2.2
Move the negative in front of the fraction.
Step 4.2.3
The final answer is .
Step 4.3
Convert to decimal.
Step 5
Find the point at .
Tap for more steps...
Step 5.1
Replace the variable with in the expression.
Step 5.2
Simplify the result.
Tap for more steps...
Step 5.2.1
One to any power is one.
Step 5.2.2
The final answer is .
Step 5.3
Convert to decimal.
Step 6
The cubic function can be graphed using the function behavior and the points.
Step 7
The cubic function can be graphed using the function behavior and the selected points.
Falls to the left and rises to the right
Step 8