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Construct a table of solutions and then graph the equation. See Examples $5-7$$$y=x^{3}-2$$
$\begin{array}{|c|c|c|}\hline{y=x^{3}-2} \\\hline x & y & (x, y) \\\hline-2 & -10 & (-2,-10) \\\hline-1 & -3 & (-1,-3) \\\hline 0 & -2 & (0,-2) \\\hline 1 & -1 & (1,-1) \\\hline 2 & 6 & (2,6) \\\hline\end{array}$
Algebra
Chapter 5
Exponents and Polynomials
Section 4
Polynomials
Oregon State University
Harvey Mudd College
Baylor University
Idaho State University
Lectures
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when you want to grab something by constructing a table and plotting points, it's a good idea to select a variety of X values, some negative, some positive and zero. So I'm going to use X equals negative too negative 101 and two and then you substitute those wanted a time into your function to find their Y values. So, for example, if I was substituting and negative, too, I would have negative to cubed minus two negative to Cube. Just eight negative eight. So I would have negative eight minus two, and that's negative. 10. So that would be the y. Coordinate. And then you keep doing that with all the other X coordinates and you get the points Negative. One negative three zero negative to one negative one and 26 and then we plot the points so you can see I could spread my numbers out wider on the X axis than the y B just because of the space I have available. So that's going to skew the how the graph looks just a little bit. Okay, so negative, too negative. 10 Negative one negative. 30 Negative too. Ah, one negative one and 26 and then we connect those points with a smooth curve as well as we can, and that is what a graph looks like.
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