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# View of /trunk/NationalProblemLibrary/Rochester/setAlgebra28ExpFunctions/sw6_1_5.pg

Sun Mar 26 22:21:31 2006 UTC (7 years, 1 month ago) by jj
File size: 948 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 $showPartialCorrectAnswers = 1; 19 20$a=random(2,10,1);
21
22 BEGIN_TEXT
23 For the function $$\displaystyle f(x)= \left(\frac{1}{a}\right)^x,$$
24 calculate the following function values:
25 $BR 26 $$f(-3)=$$ \{ans_rule(25) \} 27$BR
28 $$f(-1)=$$ \{ans_rule(25) \}
29 $BR 30 $$f(0)=$$ \{ans_rule(25) \} 31$BR
32 $$f(1)=$$ \{ans_rule(25) \}
33 $BR 34 $$f(3)=$$ \{ans_rule(25) \} 35$BR
36 END_TEXT
37
38 $ans1 =$a**3;
39 $ans2 =$a;
40 $ans3 = 1; 41$ans4 = 1/$a; 42$ans5 = $a**(-3); 43 44 ANS(num_cmp($ans1));
45 ANS(num_cmp($ans2)); 46 ANS(num_cmp($ans3));
47 ANS(num_cmp($ans4)); 48 ANS(num_cmp($ans5));
49
50 ENDDOCUMENT();        # This should be the last executable line in the problem.


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