Tonight, please complete the "Properties of Polynomials" worksheet provided in class (if you didn't finish in class already)!
- For 1-4, describe the end behavior of the polynomial...
- Look at the term with the highest exponent and its coefficient!
- If the highest exponent is even, the polynomial behaves like a quadratic, x^2
- If the highest exponent is odd, the polynomial behaves like a cubic, x^3
- Also, consider if the leading coefficient is positive or negative!
- even exponent, + coefficient: rises left, rises right (like y = x^2)
- even exponent, - coefficient: falls left, falls right (like y = -x^2)
- odd exponent, + coefficient: falls left, rises right (like y = x^3)
- odd exponent, - coefficient: rises left, falls right (like y = -x^3)
- For 5,6 use a graphing calculator to find the relative maxima, relative minima, and zeros (x-intercepts)
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