Linear Algebra Examples

Graph y=x^3+3x^2-9x
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
Raise to the power of .
Step 1.2.1.2
Raise to the power of .
Step 1.2.1.3
Multiply by .
Step 1.2.1.4
Multiply by .
Step 1.2.2
Simplify by adding numbers.
Tap for more steps...
Step 1.2.2.1
Add and .
Step 1.2.2.2
Add and .
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
Raise to the power of .
Step 2.2.1.2
Raise to the power of .
Step 2.2.1.3
Multiply by .
Step 2.2.1.4
Multiply by .
Step 2.2.2
Simplify by adding numbers.
Tap for more steps...
Step 2.2.2.1
Add and .
Step 2.2.2.2
Add and .
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
Raise to the power of .
Step 3.2.1.3
Multiply by .
Step 3.2.1.4
Multiply by .
Step 3.2.2
Simplify by adding numbers.
Tap for more steps...
Step 3.2.2.1
Add and .
Step 3.2.2.2
Add and .
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
Raising to any positive power yields .
Step 4.2.1.2
Raising to any positive power yields .
Step 4.2.1.3
Multiply by .
Step 4.2.1.4
Multiply by .
Step 4.2.2
Simplify by adding numbers.
Tap for more steps...
Step 4.2.2.1
Add and .
Step 4.2.2.2
Add and .
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
One to any power is one.
Step 5.2.1.2
One to any power is one.
Step 5.2.1.3
Multiply by .
Step 5.2.1.4
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 5.2.3
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.
Falls to the left and rises to the right
Step 8