SOLUTION: Im doing a polynomials worksheet and i dont understand it at all. The polynomials are already factored. The questions are 1)Graph it first 2)what is the domain and range 3)w

Question 847446: Im doing a polynomials worksheet and i dont understand it at all.
The polynomials are already factored.
The questions are
1)Graph it first
2)what is the domain and range
3)what is the y-intercept
4)list all of the zeros and any multiplicities
5)what is the degree of the polynomial
6)what is the end behavior
7)what are the local max and local min
8)what are the intervals of increase and decrease
First problem is
y = (x-9)(x+9)^2(9x-6)
I could use this help by 3/2/14, please and thank you.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
Given ;

1) Graphing it first, should NOT be done. Analyze the equation or function first, and then begin a graph sketch.
2) This is a polynomial function, although in its factored form. Domain is all real numbers. Range? ...?
3) Let x=0 and solve for y. That is your y-intercept.
4) Zeros and multiplicities? The function is already factored into binomials; what do you figure?
5) x to the what power? That is the degree.
6) End-behavior is taken from qualitative knowledge about polynomial functions. Look at what the leading term will be: 9x^4. Coefficient is positive, and the degree is even. This means that the left and right unbounded values will increase; and that you can expect some minimums. You might expect possibly two "trough" forms in the graph.
You are ready to begin sketching the graph. (I skipped addressing number 7 and 8). The obvious critical points to check will be , , and .

----I tried to include the graph here, but the display is hard to read---

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