Math111i_Test2_Solutions

Math111i_Test2_Solutions - Math 111I Sec 001 Test 2...

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Unformatted text preview: Math 111I Sec 001 Test 2 Solutions Name Directions: Read each question carefully and answer in the space pro- vided. The use of calculators is allowed, but not necessary. There are 100 points possible. To receive partial credit on any problem work must be shown. 1. (15 points) Given the following tables, (a) x-1 1 2 3 f ( x ) 1.88 3.20 5.44 9.25 15.72 (b) x-1 1 2 3 g ( x )-1.02 2.10 5.22 8.34 11.46 Is the function represented linear, exponential, or neither. If the func- tion is either linear or exponential, write its equation. Solutions. (a) If we check that f ( x ) is linear we quickly come to a contra- diction. So we check if f ( x ) is an exponential function, and we arrive at the conclusion that 3 . 20 1 . 88 5 . 44 3 . 20 9 . 25 5 . 44 15 . 72 9 . 25 1 . 7 Since we have that f (0) = 3 . 2, we find that f ( x ) = 3 . 20(1 . 7) x . (b) For (b) we check to see if g ( x ) is linear and we find that it is because 2 . 10- (- 1 . 02)- (- 1) = 5 . 22- 2 . 10 1- = 8 . 34- 5 . 22 2- 1 = 11 . 46- 8 . 34 3- 2 = 3 . 12 Since we know that g (0) = 2 . 10 we have that g ( x ) = 2 . 10 + 3 . 12 x Math 111I Sec 001 Test 2 Solutions 2. (5 points) Write the number 5 . 88 10- 7 in decimal notation. Solutions. The answer follows as 0 . 000000588 3. (5 points) Write the number 52,300,000 in scientific notation. Solutions. The answer follows as 5 . 23 10 7 . 4. (10 points) Simplify completely. Leave only positive exponents....
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Math111i_Test2_Solutions - Math 111I Sec 001 Test 2...

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