Pre-Algebra Examples

Graph H(x)=-x^3+5x^2-3x-9
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
Simplify each term.
Tap for more steps...
Step 1.2.1.1
Raising to any positive power yields .
Step 1.2.1.2
Multiply by .
Step 1.2.1.3
Raising to any positive power yields .
Step 1.2.1.4
Multiply by .
Step 1.2.1.5
Multiply by .
Step 1.2.2
Simplify by adding and subtracting.
Tap for more steps...
Step 1.2.2.1
Add and .
Step 1.2.2.2
Add and .
Step 1.2.2.3
Subtract from .
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
Simplify each term.
Tap for more steps...
Step 2.2.1.1
One to any power is one.
Step 2.2.1.2
Multiply by .
Step 2.2.1.3
One to any power is one.
Step 2.2.1.4
Multiply by .
Step 2.2.1.5
Multiply by .
Step 2.2.2
Simplify by adding and subtracting.
Tap for more steps...
Step 2.2.2.1
Add and .
Step 2.2.2.2
Subtract from .
Step 2.2.2.3
Subtract from .
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
Simplify each term.
Tap for more steps...
Step 3.2.1.1
Raise to the power of .
Step 3.2.1.2
Multiply by .
Step 3.2.1.3
Raise to the power of .
Step 3.2.1.4
Multiply by .
Step 3.2.1.5
Multiply by .
Step 3.2.2
Simplify by adding and subtracting.
Tap for more steps...
Step 3.2.2.1
Add and .
Step 3.2.2.2
Subtract from .
Step 3.2.2.3
Subtract from .
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
Simplify each term.
Tap for more steps...
Step 4.2.1.1
Raise to the power of .
Step 4.2.1.2
Multiply by .
Step 4.2.1.3
Raise to the power of .
Step 4.2.1.4
Multiply by .
Step 4.2.1.5
Multiply by .
Step 4.2.2
Simplify by adding and subtracting.
Tap for more steps...
Step 4.2.2.1
Add and .
Step 4.2.2.2
Subtract from .
Step 4.2.2.3
Subtract from .
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
Simplify each term.
Tap for more steps...
Step 5.2.1.1
Raise to the power of .
Step 5.2.1.2
Multiply by .
Step 5.2.1.3
Raise to the power of .
Step 5.2.1.4
Multiply by .
Step 5.2.1.5
Multiply by .
Step 5.2.2
Simplify by adding and subtracting.
Tap for more steps...
Step 5.2.2.1
Add and .
Step 5.2.2.2
Subtract from .
Step 5.2.2.3
Subtract from .
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