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

Wed Oct 17 17:35:27 2012 UTC (7 months ago) by jj
File size: 1755 byte(s)
Took pairs of problems which were exact duplicates except for their tags,
merged tags, and made one point to the other.


    1 ## DESCRIPTION
2 ## Algebra: Exponential and Logarithmic Functions
3 ## ENDDESCRIPTION
4
5 ## Tagged by cmd6a 4/4/06
6
7 ## DBsubject('Algebra')
8 ## DBchapter('Exponential and Logarithmic Functions')
9 ## DBsection('Exponential Functions')
10 ## Date('6/3/2002')
11 ## TitleText1('College Algebra')
12 ## AuthorText1('Stewart, Redlin, Watson')
13 ## EditionText1('3')
14 ## Section1('6.1')
15 ## Problem1('24')
16 ## KEYWORDS('algebra', 'expeonential function')
17
18 DOCUMENT();        # This should be the first executable line in the problem.
19
21 "PG.pl",
22 "PGbasicmacros.pl",
23 "PGchoicemacros.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 $b=random(3,9,1); 34 35 BEGIN_TEXT 36 The graph of the function 37 $$f(x)=b^{x-a}$$ 38 can be obtained from the graph of 39 $$g(x)=b^x$$ 40 by one of the following actions: 41$BR
42 (a) shifting the graph of $$g(x)$$ to the right $a units; 43$BR
44 (b) shifting the graph of $$g(x)$$ to the left $a units; 45$BR
46 (c) shifting the graph of $$g(x)$$ upward $a units; 47$BR
48 (d) shifting the graph of $$g(x)$$ downward $a units; 49$BR
50 (e) reflecting the graph of $$g(x)$$ in the $$x$$-axis;
51 $BR 52 (f) reflecting the graph of $$g(x)$$ in the $$y$$-axis; 53$BR
54 Your answer is (input a, b, c, d, e, or f) \{ans_rule(15) \}
55 $BR 56 Is the domain of the function $$f(x)$$ still $$(-\infty,\infty)$$? 57$BR
59 $BR 60 The range of the function $$f(x)$$ is $$(A, \infty)$$, 61$BR
62 the value of $$A$$ is \{ans_rule(15) \}
63 $BR 64 END_TEXT 65 66$ans1 = "a";
67 $ans2 = "Yes"; 68$ans3 = 0;
70 ANS(str_cmp($ans1)); 71 ANS(str_cmp($ans2));