Logarithmic Functions and Compound Interest: Homework and Graphing Exercises
This homework assignment focuses on logarithmic functions and their applications, particularly emphasizing graphing and transforming these functions. Students will work through various exercises, including solving logarithmic equations, identifying the domain and range, and understanding the geometric transformations of logarithmic graphs. Additionally, a real-world problem involving compound interest will be included, where students will calculate the future value of a deposit based on different compounding frequencies over a period of 5 years.
Logarithmic Functions and Compound Interest: Homework and Graphing Exercises
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Pg. 277/293/301 Homework • Pg. 301 #8 – 20 even Pg. 308 #1 – 14 allPg. 311 #41 – 46 all • #21 log7y = x #22 4 = log3xy • #23 log2(x + y) = 8 #24 log(1 + r)P = n • #25 35 = x #26 2y = x • #27 3-2 = x/y #28 P = (1 + r)n • #29 3log2x + 2log2y #30 lnx + 3ln y • #31 2logax – 3logay #32 3 + 4log10x • #33 log 5000 + log x + 360log(1 + r) #34 (3/5)(log 6 + log z) • #1 D: (0, ∞); R: (-∞, ∞) #2 D: (0, ∞); R: (-∞, ∞) • #3 D: (0, ∞); R: (-∞, ∞) #4 D: (0, ∞); R: (-∞, ∞) • #5 D: (0, ∞); R: (-∞, ∞) #6 D: (0, ∞); R: (-∞, ∞) • #42 x = 11.55 years
5.5 Graphs of Logarithmic Functions Graphing Logarithms Graph the following logarithms and state their domain and range. • The graph of any logarithmic function of the form y = alogb(cx + d) + kcan be obtained by applying geometric transformations to the graph of y = logbx
5.5 Graphs of Logarithmic Functions Graph the following Logarithms • State the transitions and/or reflections that occur and the domain and range.
5.5 Graphs of Logarithmic Functions Solve Algebraically. Word Problem! Linda deposits $500 in a bank that pays 7% APR. Assume she makes no other deposits or withdraws. How much will she accumulate after 5 years if the bank pays interest compounded: Annually - Quarterly Monthly - Semi – Annually Daily - Continuously
