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# View of /trunk/NationalProblemLibrary/Rochester/setAlgebra28ExpFunctions/srw4_1_31.pg

Tue Apr 11 16:55:13 2006 UTC (7 years, 1 month ago) by jjholt
File size: 1725 byte(s)
Added tags.  --JH


    1 ## DESCRIPTION
2 ## Algebra: Exponential and Logarithmic Functions
3 ## ENDDESCRIPTION
4
5 ## KEYWORDS ('exponential')
6 ## Tagged by cmd6a 4/4/06
7
8 ## DBsubject('Algebra')
9 ## DBchapter('Exponential and Logarithmic Functions')
10 ## DBsection('Exponential Functions')
11 ## Date('')
12 ## Author('')
13 ## Institution('Rochester')
14 ## TitleText1('')
15 ## EditionText1('')
16 ## AuthorText1('')
17 ## Section1('')
18 ## Problem1('')
19
20 DOCUMENT();        # This should be the first executable line in the problem.
21
23 "PG.pl",
24 "PGbasicmacros.pl",
25 "PGchoicemacros.pl",
27 "PGauxiliaryFunctions.pl"
28 );
29
30 TEXT(beginproblem());
31 $showPartialCorrectAnswers = 0; 32 install_problem_grader(~~&std_problem_grader); 33 34$a=random(3,9,1);
35 $b=random(3,9,1); 36 37 BEGIN_TEXT 38 The graph of the function 39 $$f(x)=b^{x-a}$$ 40 can be obtained from the graph of 41 $$g(x)=b^x$$ 42 by one of the following actions: 43$BR
44 (a) shifting the graph of $$g(x)$$ to the right $a units; 45$BR
46 (b) shifting the graph of $$g(x)$$ to the left $a units; 47$BR
48 (c) shifting the graph of $$g(x)$$ upward $a units; 49$BR
50 (d) shifting the graph of $$g(x)$$ downward $a units; 51$BR
52 (e) reflecting the graph of $$g(x)$$ in the $$x$$-axis;
53 $BR 54 (f) reflecting the graph of $$g(x)$$ in the $$y$$-axis; 55$BR
56 Your answer is (input a, b, c, d, e, or f) \{ans_rule(15) \}
57 $BR 58 Is the domain of the function $$f(x)$$ still $$(-\infty,\infty)$$? 59$BR
61 $BR 62 The range of the function $$f(x)$$ is $$(A, \infty)$$, 63$BR
64 the value of $$A$$ is \{ans_rule(15) \}
65 $BR 66 END_TEXT 67 68$ans1 = "a";
69 $ans2 = "Yes"; 70$ans3 = 0;
72 ANS(str_cmp($ans1)); 73 ANS(str_cmp($ans2));