Math 140 Fall 2021 Week in Review Section 5 7 WIR Sections 5 7 and 5 8 1 For each graph given below state the parent function and then identify the transformations of the parent function and write the resulting function a b c d 2 State the parent function for g x 2 ex 3 and then the list of transformations in the correct order needed to graph the function 3 Write the equation of the function g x whose graph is the result of f x x undergoing the transformation of shifted left 3 units vertically compressed by a factor of 2 and then shifted down 8 units Copyright 2021 TAMU Math Learning CenterWIR Sect 5 7 5 8 Page 1 of 3 4 Given the graph of g x below draw the graph of 2g x 1 3 Math 140 Fall 2021 Week in Review 5 Given g x x2 1 h x x 1 and the graph of f x below nd a f f 5 b g f 3 c f g 0 d g h 2 e g f h 3 Section 5 8 6 Without using a calculator evaluate 72 log7 4 7 Express log4 x 1 log4 x 4 log4 2x2 1 as a single logarithm When necessary assume 1 2 all variables represent positive real numbers 8 Use the properties of logarithms to fully expand and simplify the expression ln When cid 32 cid 115 3 cid 33 2x3 e2y3 necessary assume all variables represent positive real numbers Copyright 2021 TAMU Math Learning CenterWIR Sect 5 7 5 8 Page 2 of 3 9 Use properties of logarithms to determine whether each statement below is true or false Math 140 Fall 2021 Week in Review cid 18 16 cid 19 a log4 x ln 5x ln 10x b ln 2 log4 x cid 18 1 cid 19 2 c log 10 2x xeln 2 10 For each of the logarithmic functions below state the a domain b range c end behaviors i e behavior of the function values as x d x intercept s and e y intercept a f x log 1 2 b g x ln x x 11 State the domain of each algebraic function using interval notation 12 Solve each of the following for x Leave your answers in exact form ln x 2 3x 1 e a h x b g x ln 4x 8 ln x 1 c f x 2x ln x 1 a 3x 4 5 b 2e2x ex 3 c log3 4 2x ln e 2 log3 x 1 d log5 8 x log5 48 log5 x Copyright 2021 TAMU Math Learning CenterWIR Sect 5 7 5 8 Page 3 of 3
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