Arithmetic and Graphing: Practice Exercises

Here are various Exercises to accompany the section Arithmetic and Graphing.  

1. Complete the analysis of the function f(x) = -(x - 1)/2, by completing the following table:

   Algebraic	Numerical				Geometric
   	English	Values			English	Number Line
   x	Take the input	-1	0	1	Take the line
   x - 1	Subtract 1
   (x - 1)/2	Multiply by 1/2
   -(x - 1)/2	Multiply by -1

   Solution.

2. Analyze each of the following functions, algebraically, numerically, and geometrically, by constructing a table, as in the previous Exercise:

   1. g(x) = 2(x + 3)
   2. h(x) = 2x + 6
   3. k(x) = -(x - 2)
   4. r(x) = -x + 2

   Solution.

3. Looking at the results of the previous Exercise:

   1. Compare g and h algebraically, numerically, and geometrically.
   2. Compare k and r algebraically, numerically, and geometrically.

   Solution.

Go to Post-Composition and Graphing .

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