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messersmith_power_introductory_algebra_1e_ch4_7_10

Using Technology A graphing calculator can be used to represent a function as a graph and also as a table of values. Consider the function f (x) 2x 5. To graph the function, press Y, then type 2x 5 to the right of \Y1. Press ZOOM and select 6:ZStandard to graph the equation as shown on the left below. We can select a point on the graph. For example, press TRACE, type 4, and press ENTER. The point (4, 3) is displayed on the screen as shown below on the right. The function can also be represented as a table on a graphing calculator. To set up the table, press 2nd WINDOW, move the cursor after TblStart , and enter a number such as 0 to set the starting x-value for the table. Enter 1 after Tbl to set the increment between x-values as shown on the left below. Then press 2nd GRAPH to display the table as shown on the right below. The point (4, 3) is represented in the table above as well as on the graph. Given the function, fi nd the function value on a graph and a table using a graphing calculator. 1) f (x) 3x 4; f (2) 2) f (x) 4x 1; f (1) 3) f (x) 3x 7; f (1) 4) f (x) 2x 5; f (1) 5) f (x) 2x 7; f (1) 6) f (x) x 5; f (4) ANSWERS TO YOU TRY EXERCISES 1) a) domain: {5, 4, 2, 8, 10}; range: {3, 0, 7, 8, 15}; function b) domain: {2, 0, 1}; range: {13, 13, 3, 2}; not a function c) domain: {6, 6, 7, 11}; range: {36, 49, 121}; function 2) a) function; domain: (q, q); range: (q, q) b) not a function; domain: (q, 3; range: (q, q) 3) a) (q, q) b) (q, q) c) (q, 2) ´ (2, q) 4) a) y 13 b) f (2) 13 5) a) f (1) 1 b) f (3) 23 c) h(2) 21 d) h(0) 7 ANSWERS TO TECHNOLOGY EXERCISES 1) 2 2) 3 3) 4 4) 3 5) 9 6) 1 648 CHAPTER 10 Quadratic Equations www.mhhe.com/messersmith


messersmith_power_introductory_algebra_1e_ch4_7_10
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