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| 1 : | jjholt | 156 | ## DESCRIPTION |
| 2 : | ## Algebra: Exponential and Logarithmic Functions | ||
| 3 : | ## ENDDESCRIPTION | ||
| 4 : | jj | 145 | |
| 5 : | jjholt | 156 | ## Tagged by cmd6a 4/4/06 |
| 6 : | jj | 145 | |
| 7 : | jjholt | 156 | ## DBsubject('Algebra') |
| 8 : | ## DBchapter('Exponential and Logarithmic Functions') | ||
| 9 : | ## DBsection('The Natural Exponential Function') | ||
| 10 : | jj | 3115 | ## Date('6/3/2002') |
| 11 : | ## TitleText1('College Algebra') | ||
| 12 : | ## AuthorText1('Stewart, Redlin, Watson') | ||
| 13 : | ## EditionText1('3') | ||
| 14 : | ## Section1('6.2') | ||
| 15 : | ## Problem1('5') | ||
| 16 : | ## KEYWORDS('algebra', 'expeonential function') | ||
| 17 : | jjholt | 156 | |
| 18 : | jj | 145 | DOCUMENT(); # This should be the first executable line in the problem. |
| 19 : | |||
| 20 : | loadMacros( | ||
| 21 : | "PG.pl", | ||
| 22 : | "PGbasicmacros.pl", | ||
| 23 : | "PGchoicemacros.pl", | ||
| 24 : | "PGanswermacros.pl", | ||
| 25 : | "PGauxiliaryFunctions.pl" | ||
| 26 : | ); | ||
| 27 : | |||
| 28 : | TEXT(beginproblem()); | ||
| 29 : | $showPartialCorrectAnswers = 0; | ||
| 30 : | install_problem_grader(~~&std_problem_grader); | ||
| 31 : | |||
| 32 : | $a=random(3,9,1); | ||
| 33 : | |||
| 34 : | BEGIN_TEXT | ||
| 35 : | The graph of the function | ||
| 36 : | \( f(x)=e^{-x}-$a \) | ||
| 37 : | can be obtained from the graph of | ||
| 38 : | \( g(x)=e^x \) | ||
| 39 : | by one of the following actions: | ||
| 40 : | $BR | ||
| 41 : | (a) reflecting the graph of \(g(x)\) in the \(x\)-axis; | ||
| 42 : | $BR | ||
| 43 : | (b) reflecting the graph of \(g(x)\) in the \(y\)-axis; | ||
| 44 : | $BR | ||
| 45 : | your answer is (input a or b) \{ans_rule(15) \} | ||
| 46 : | $BR | ||
| 47 : | then, by one of the following actions: | ||
| 48 : | $BR | ||
| 49 : | (a) shifting the resulting graph to the right $a units; | ||
| 50 : | $BR | ||
| 51 : | (b) shifting the resulting graph to the left $a units; | ||
| 52 : | $BR | ||
| 53 : | (c) shifting the resulting graph upward $a units; | ||
| 54 : | $BR | ||
| 55 : | (d) shifting the resulting graph downward $a units; | ||
| 56 : | $BR | ||
| 57 : | Your answer is (input a, b, c, or d) \{ans_rule(15) \} | ||
| 58 : | $BR | ||
| 59 : | Is the domain of the function \(f(x)\) still \( (-\infty,\infty) \)? | ||
| 60 : | $BR | ||
| 61 : | Your answer is (input Yes or No) \{ans_rule(15) \} | ||
| 62 : | $BR | ||
| 63 : | The range of the function \(f(x)\) is \( (A,\infty) \), | ||
| 64 : | $BR | ||
| 65 : | the value of \(A\) is \{ans_rule(15) \} | ||
| 66 : | $BR | ||
| 67 : | END_TEXT | ||
| 68 : | |||
| 69 : | $ans0 = "b"; | ||
| 70 : | $ans1 = "d"; | ||
| 71 : | $ans2 = "Yes"; | ||
| 72 : | $ans3 = -$a; | ||
| 73 : | |||
| 74 : | ANS(str_cmp($ans0)); | ||
| 75 : | ANS(str_cmp($ans1)); | ||
| 76 : | ANS(str_cmp($ans2)); | ||
| 77 : | ANS(num_cmp($ans3)); | ||
| 78 : | |||
| 79 : | ENDDOCUMENT(); # This should be the last executable line in the problem. | ||
| 80 : |
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