4.3 Graphs of Polynomials

The end behavior of a polynomial function is determined by the DEGREE and the SIGN (+/-) of the Leading Coefficient (LC). Identify the DEGREE of the polynomial and the SIGN(+/-) of the LC

The end behavior of a polynomial function is determined by the DEGREE and the SIGN (+/-) of the Leading Coefficient (LC). Identify the DEGREE of the polynomial and the SIGN(+/-) of the LC

The end behavior of a polynomial function is determined by the DEGREE and the SIGN (+/-) of the Leading Coefficient (LC). Identify the DEGREE of the polynomial and the SIGN(+/-) of the LC

The end behavior of a polynomial function is determined by the DEGREE and the SIGN (+/-) of the Leading Coefficient (LC). Identify the DEGREE of the polynomial and the SIGN(+/-) of the LC

Given the function

$$f\left(x\right)=x^3-4x^2+3x-12$$  What is its end behavior?

Given the function

$$f\left(x\right)=x^3-4x^2+3x-12$$  What is its factored form?

Given the function

$$f\left(x\right)=-x\left(x+2\right)\left(x-5\right)^2$$  What are the zeros?  What is their multiplicity?

Given the function

$$f\left(x\right)=-x\left(x+2\right)\left(x-5\right)^2$$  Where are the x-intercepts?  What is the behavior of the graph at each x-intercept?

Given the function

$$f\left(x\right)=-x\left(x+2\right)\left(x-5\right)^2$$  How many relative extrema are there?  What type?