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# College Alegbra 12458

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This 6 page Study Guide was uploaded by Corina Johnson on Sunday February 21, 2016. The Study Guide belongs to 12458 at University of Houston taught by Moses Sosa in Spring 2016. Since its upload, it has received 31 views. For similar materials see College Alegbra in Math at University of Houston.

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Date Created: 02/21/16

M1310 Review test 5 1 Review for M1310 Test 5: x 1. Find the exponential function of the form f(x) = a which passes through the point (0, 1) and (2, 25). 2. Given f(x) = 3x−2 +2 a. Use transformations to determine the coordinates of key point (0, 1). b. Asymptote? c. Range 3. Given f(x) = −e x+1 a. Use the transformations to determine the coordinate of (0, 1). b. Asymptote? c. Range? M1310 Review test 5 2 4. Find the y intercept for the following functions: x++2 a. f(x)= 4 − 6 x b. f(x)= −e − 2 5.Write as an exponential function: a. log x = y 3 = b. ln4 = y c. log100 = 2 6. Write in the logarithmic form: 2 a. e = x 3 b. 3 = 27 c. 5−2 = 1 25 7.Evaluate a. log24 b. log 2 2 M1310 Review test 5 3 1 c. log 416 d. ln−− ) log 6 e. 2 2 f. log41 g. log 4 4 ln4 h. e 8. Given f(x) = log (x +2) −1 2 a. Use the transformations to determine the coordinate of (1,0). b. Asymptote? c. Range? 9. Find the domain: a. f(x) = ln(2− x)−2 M1310 Review test 5 4 b. f(x) == log3(2x + 4 )− 2 10. Rewrite so that your answer does not contain logarithms of any product, quotient or power. 2 a. log 2(x +2 ) (( +1 )) x 3(x − 2) ) x2 ( + 2) ) b. ln (x +4 ) ) 11. Write as a single logarithm. a. 4log(x ++2) −− 1 log(2x −1 ) ) 2 b. 3lnx ++ 1 lnx −− 4ln(x2 +1 ) 2 M1310 Review test 5 5 12. Solve: a. 3x = 6 b. 5x−−1 = 125 c. log3(2 − x)= 3 d. 2logx == log2 + log(3x + 8) e. ln(x −−1) = ln4+ ln(x − 3) f. log2(x + 9)−log 2x −− 3)= 2 M1310 Review test 5 6 13. Find the exponential function from the graph.

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