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Graphing Equations
How do you hand-graph an equation like this:
f(x) = 3x^3 + 4x^2 - 3x + 1
Or any equations like that. We learned how to do it in Alg II last year, but the problem is that I don't know how to do it by hand at all & I can't find the notes on it. Our teacher gave us a pre-test type thing to our class to see where we were and one of the questions asked to graph an equation similar to that and to make sure all the points were indicated clearly on the graph. Well, I plugged it into my calculator, but I didn't know where to put the points at all, so I completely missed.
So, my questions are how do you hand graph an equation like that. And if you put it in your calculator, how do you know where to put dots on a graph on a paper? Thanks!
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There are several ways to do it.
One of the ways would be through simple calculus. Take the first derivative of the function f'(x) = 9x^2 + 8x - 3. Solve for the value of x as f'(x) equals 0. Substituting that to the original function, you will get the maximum and minimum values of the graph (if they exist) and then you can substitute points for your graph to be more accurate.
Basically, you should look for the minimum and maximum values of the function. I assume you were taught that given an odd function that's positive, the "left" and "right" side of the function would be increasing in that interval. If it were negative, then, both sides would be decreasing. *It's easier to explain this with a figure.
Just message me. I'm not really sure what you've been taught so I don't know which concepts I can apply.
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sorry just tried to help. =(. Did you ever learn how to do it again!
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