A10 APPENDIX Review Calculators and Graphing Utilities Calculators are incapable of displaying decimals that contain a large number of digits. For example, some calculators are capable of displaying only eight digits. When a number requires more than eight digits, the calculator either truncates or rounds. To see how your calculator handles decimals, divide 2 by 3. How many digits do you see? Is the last digit a 6 or a 7? If it is a 6, your calculator truncates; if it is a 7, your calculator rounds. There are different kinds of calculators. An arithmetic calculator can only add, subtract, multiply, and divide numbers; therefore, this type is not adequate for this course. Scientific calculators have all the capabilities of arithmetic calculators and also contain function keys labeled ln, log, sin, cos, tan, x ,y inv, and so on. Graphing calculators have all the capabilities of scientific calculators and contain a screen on which graphs can be displayed. We use the term graphing utility to refer generically to all graphing calculators and computer software packages.In this text the use of a graphing utility is required. 8 Use a Calculator to Evaluate Exponents Your calculator has either a caret key, ^ , or an xy key, that is used for computations involving exponents. Using Equation (2) (a) 2.3 2.3 2.3 2 ( ) = = (b) 2.3 2.3 2.3 2 ( ) − = − = (c) x x 2 = EXAMPLE 13 Now Work problem 95 Figure 12 Exponents on a Graphing Calculator Evaluate: 2.3 5 ( ) EXAMPLE 14 Solution Figure 12 shows the result using a TI-84 Plus CE graphing calculator. Now Work problem 125 Concepts and Vocabulary A.1 Assess Your Understanding 1. A(n) is a letter used in algebra to represent any number from a given set of numbers. 2. On the real number line, the real number zero is the coordinate of the . 3. An inequality of the form a b > is called a(n) inequality. 4. In the expression 2 ,4 the number 2 is called the and 4 is called the . 5. Multiple Choice If a is a nonnegative real number, then which inequality statement best describes a ? (a) a 0 < (b) a 0 > (c) a 0 ≤ (d) a 0 ≥ 6. Multiple Choice Let a and b be nonzero real numbers and m and n be integers. Which of the following is not a law of exponents? (a) a b a b n n n ( ) = (b) a a m n m n ( ) = + (c) a a a m n m n = − (d) ab a b n n n ( ) = 7. Multiple Choice The set of values that a variable may assume is called the of the variable. (a) domain (b) range (c) coordinate (d) origin 8. True or False The distance between two distinct points on the real number line is always greater than zero. 9. True or False The absolute value of a real number is always greater than zero. 10. True or False The inverse of squaring is finding a square root. 1. Now Work 1. Modeling 1.ExplainingConcepts Calculus Preview 1.InteractiveFigure
RkJQdWJsaXNoZXIy NjM5ODQ=