[PreC] Ch 4 Test topics and Practice Problems.pdf - [PreCalc] 4.1CompositeFunctions 4. a b c 4. a Solveexpone

# [PreC] Ch 4 Test topics and Practice Problems.pdf -...

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Unformatted text preview: [Pre Calc] Ch 4 Test Topics and List of Problems 4.1 Composite Functions 4.2 One­to­One Functions; Inverse Functions a. Identify one­to­one functions b. Review the graphs of inverse functions c. Practice how to find the inverse function algebraically 4.3 Exponential Functions a. Solve exponential equations b. Domain and range 4.4 Logarithmic Functions a. Change exponential statements to logarithmic statements b. Evaluate logarithmic expressions c. Domain and range d. Solve Logarithmic equations e. Recognize the graph of logarithmic functions 4.5 Properties of Logarithms a. Work with properties of Logarithms i. One of the proofs of the properties will be on the test. b. Write a logarithmic expression as a sum or difference of logarithms c. Write a logarithmic expression as a single logarithm d. Evaluate a logarithm whose base is neither 10 nor e 4.6 a. Solve logarithmic equations b. Solve exponential equations c. Solve logarithmic and exponential equations using a graphing utility 4.8 a. Find equations of populations that obey the law of uninhibited growth (ex. cell division, bacteria problems) b. Find equations of populations that obey the law of decay (ex. half­life problems) c. Use Newton’s Law of Cooling 4.9 a. Build exponential Model from Data i. Use graphing calculator to find the data, and change it to form using “e” (p. 360) Review the problems we did in class and for hw: Extra Practice Problems for chapter 4 (in addition to the problems we did in class). 4.1 #7, 15, 16, 23­26 4.2 # 19­24, 55­58 4.3 # 31, 66,74 4.4 # 43, Find the domain. f (x) = logx2 (Answer: {(­infinity,0) or (0,infinity)} 2 f (x) = log(x − 3) {(­infinity,3) or (3, infinity)} Proofs of properties of logarithms 4.5 # 13, 16,19, 21­23, 25­27, 31, 46, 47, 53­56, 62­63, ANSWERS ON THE FOLLOWING PAGES 4.6 #7,10,13,16,19,22,25,28,48,52,56 4.8 #2, 4, 7­8, 13­14 (Solve c and d for both #s 13 and 14 algebraically, not graphically) 4.1 #7, 15, 16, 23­26 4.2 # 19­24, 55­58 4.3 # 31, 66,74 4.4 # 43 4.5 # 13, 16,19, 21­23, 25­27, 31, 46, 47, 53­56, 62­63, 4.6 #7,10,13,16,19,22,25,28,48,52,56 4.8 #2, 4, 7­8, 13­14 (Answer c and d for both #’s 13 and 14 algebraically, not graphically) ...
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