Graphing polynomial functions
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Polynomial functions can be written in standard form as f(x)=Ax^n+Bx^(n-2)+Cx^(n-3) + ... + Gx + H. The degree is the highest power of x and the leading coefficient is the coefficient of the first term. Even degree polynomials bounce off the x-axis while odd degree polynomials pass through it. The end behaviors of polynomials depend on the degree and sign: even degree tails are both up or down, odd degree tails are up then down or down then up.
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Graphing polynomial functions
- 2. Squared-even-Exponent: bounce off1st power: pass throughOdd exponent:“sgiggle “ through
- 3. IMPORTANT TERMSPolynomial Function: a function that can be written like: f(x)=Ax(n)+Bx(n-2)+Cx(n-3)…..Gx+HDegree: The highest power of X in standard form.Leading Coefficient: The coefficient of the first term if the terms are in descending order.Standard form: f(x)=Ax(n)+Bx(n-2)+Cx(n-3)…..Gx+HFactored form: f(x)=(x-r1)(x-r2)(x-r3)….
- 4. End behaviors (tails)If the degree is a even number the tails are up, upunless there is a negative infront of the whole equation then the tails are switched.If the degree is an odd number the tails are up down unless there is a negative in front of the whole equation then the tails are flip flopped and become down up.