Calculus Examples
Step 1
Identify the exponents on the variables in each term, and add them together to find the degree of each term.
The largest exponent is the degree of the polynomial.
Step 2
Since the degree is even, the ends of the function will point in the same direction.
Even
Step 3
The leading term in a polynomial is the term with the highest degree.
The leading coefficient in a polynomial is the coefficient of the leading term.
Step 4
Since the leading coefficient is negative, the graph falls to the right.
Negative
Step 5
Use the degree of the function, as well as the sign of the leading coefficient to determine the behavior.
1. Even and Positive: Rises to the left and rises to the right.
2. Even and Negative: Falls to the left and falls to the right.
3. Odd and Positive: Falls to the left and rises to the right.
4. Odd and Negative: Rises to the left and falls to the right
Step 6
Determine the behavior.
Falls to the left and falls to the right
Step 7