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# View of /trunk/NationalProblemLibrary/Rochester/setAlgebra28ExpFunctions/srw4_1_29.pg

Sun Mar 26 22:21:31 2006 UTC (7 years, 1 month ago) by jj
File size: 1548 byte(s)
Initial import


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