Use a graphing calculator to determine the following for the polynomial function $f(x)=x^4-4x^3-2x^2+5x+9$ Use ya graphing calculator to determine the following for the polynomial  function $f(x)=x^4-4x^3-2x^2+5x+9$
My Answers... 
http://postimg.org/image/e0hrqf7az/
a) Domain 
b) Rnage
c) The Zeros
d) Y-Intercept
e) cordinates of realtive maximum
f) cordinates of realtive minmum
g) intervals where f(x)great then or equal to 0 
h) interveals where f(x) is smaller than 0 

That's a lot of work for one "question"! Here's a quick refresher for each:
a) At this level, I'd say you have domain equal to "all real numbers", unless you have one or more of the following: [square root of negative number, division by zero, log of non-positive number]
b) To find the range using a graphing calculator, notice that since $f$ is of even degree, with positive leading coefficient, there will be a minimum. So the answer is not "all real numbers". If the polynomial were of odd degree, then the range would be "all real numbers". So this one is wrong. You'll have something of the form $[min, \infty)$
c) Use the "calculate zeros" function, or just have W|A do it...
d) The y-intercept is $f(0)$
e-f) omitted
g-h) Using the roots/zeros found in (c), you'll break the x-axis into intervals. $f$ is $\geq 0$ where the graph is (at or) above the x-axis. It's negative where the graph is below. Your answers will be intervals. 
