Find the End Behavior 5x^8-2x^7-8x^6+1
Write as a function.
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.
Since the degree is even, the ends of the function will point in the same direction.
Even
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.
Since the leading coefficient is positive, the graph rises to the right.
Positive
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
Determine the behavior.
Rises to the left and rises to the right
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Name
| Name | one billion seven hundred fifty-two million seven hundred forty-two thousand two hundred twenty-five |
|---|
Interesting facts
- 1752742225 has 16 divisors, whose sum is 2718099216
- The reverse of 1752742225 is 5222472571
- Previous prime number is 5
Basic properties
- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 37
- Digital Root 1
Name
| Name | one billion eight hundred eighty-two million six hundred twenty-one thousand nine hundred ninety-five |
|---|
Interesting facts
- 1882621995 has 4 divisors, whose sum is 2008130144
- The reverse of 1882621995 is 5991262881
- Previous prime number is 15
Basic properties
- Is Prime? no
- Number parity odd
- Number length 10
- Sum of Digits 51
- Digital Root 6
Name
| Name | one hundred forty-three million nine hundred eighty-one thousand seven hundred twenty-three |
|---|
Interesting facts
- 143981723 has 8 divisors, whose sum is 154083600
- The reverse of 143981723 is 327189341
- Previous prime number is 29
Basic properties
- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 38
- Digital Root 2