McGraw Hill Glencoe Algebra 2, 2012
MH
McGraw Hill Glencoe Algebra 2, 2012 View details
Mid-Chapter Quiz
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Exercise 15 Page 340

Make sure to use both positive and negative values for x.

Practice makes perfect

Let's make a table of values to graph the given function. When making a table of values, make sure to use a variety of points, including negative and positive ones.

x x^3-2x^2-3x f(x)=x^3-2x^2-3x
- 2 ( - 2)^3-2( - 2)^2-3( - 2) - 10
- 1 ( - 1)^3-2( - 1)^2-3( - 1) 0
0 ( 0)^3-2( 0)^2-3( 0) 0
1 ( 1)^3-2( 1)^2-3( 1) - 4
2 ( 2)^3-2( 2)^2-3( 2) - 6
3 ( 3)^3-2( 3)^2-3( 3) 0
4 ( 4)^3-2( 4)^2-3( 4) 20
We will now plot the obtained points and connect them with a smooth curve. Consider also that this is an odd-degree polynomial with a positive leading coefficient. This tells us about the end behavior of the function. &f(x) → - ∞ as x → - ∞ &f(x) → + ∞ as x → + ∞ Let's draw the function!