Algebra Examples

Graph y=-3/2x^3
Step 1
Find the point at .
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Step 1.1
Replace the variable with in the expression.
Step 1.2
Simplify the result.
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Step 1.2.1
Cancel the common factor of and .
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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.
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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
Raise to the power of .
Step 1.2.3
Multiply .
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Step 1.2.3.1
Multiply by .
Step 1.2.3.2
Multiply by .
Step 1.2.3.3
Multiply by .
Step 1.2.4
The final answer is .
Step 1.3
Convert to decimal.
Step 2
Find the point at .
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Step 2.1
Replace the variable with in the expression.
Step 2.2
Simplify the result.
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Step 2.2.1
Raising to any positive power yields .
Step 2.2.2
Multiply by .
Step 2.2.3
Divide by .
Step 2.2.4
Multiply by .
Step 2.2.5
The final answer is .
Step 2.3
Convert to decimal.
Step 3
Find the point at .
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Step 3.1
Replace the variable with in the expression.
Step 3.2
Simplify the result.
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Step 3.2.1
Cancel the common factor of and .
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Step 3.2.1.1
Factor out of .
Step 3.2.1.2
Cancel the common factors.
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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
Multiply .
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Step 3.2.3.1
Multiply by .
Step 3.2.3.2
Multiply by .
Step 3.2.4
The final answer is .
Step 3.3
Convert to decimal.
Step 4
Find the point at .
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Step 4.1
Replace the variable with in the expression.
Step 4.2
Simplify the result.
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Step 4.2.1
Raise to the power of .
Step 4.2.2
Multiply by .
Step 4.2.3
Move the negative in front of the fraction.
Step 4.2.4
The final answer is .
Step 4.3
Convert to decimal.
Step 5
Find the point at .
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Step 5.1
Replace the variable with in the expression.
Step 5.2
Simplify the result.
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Step 5.2.1
One to any power is one.
Step 5.2.2
Multiply by .
Step 5.2.3
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.
Rises to the left and falls to the right
Step 8