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# Class Note for MATH 1330 at UH 3

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This 3 page Class Notes was uploaded by an elite notetaker on Friday February 6, 2015. The Class Notes belongs to a course at University of Houston taught by a professor in Fall. Since its upload, it has received 15 views.

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Date Created: 02/06/15

Exercise Set 31 Exponential Equations and Functions Solve for x If no solution exists state No solution 1 a 3 2 0 b 327 1 2 a 7 3 1 b 7X 0 3 a 53 1 125 b 2531 125 4 a 252 32 b 85 32 5 a 24X 1780 b 2quot380 6 a 7X370 b 7 352 1 7 a 27 5 b 36M J6 721 s a 252143 b 49 Graph each of the following functions by plotting points Show any asymptotes clearly on your graph 9 fx 3X 10 fx 5X 11 fx 12 fx Answer the following 13 Based on your answers to 912 above a Draw a sketch of fx 1X Where a gt 1 b Draw a sketch of f x 1X Where 0 lt a lt l c What point on the graph do parts a and b have in common d Name any asymptotes for parts a and b Math 1330 Precalculus The University afHausIon 14 Based on your answers to 912 above a Draw a sketch of f x 27X Without plotting points b Draw a sketch of f x 073X Without plotting points c What point on the graph do parts a and b have in common d Name any asymptotes for parts a and b Answer the followingGraph each of the following pairs of functions on the same set of axes 15 a Graph the functions f x 6X and gx on the same set of axes b Compare the graphs drawn in part a What is the relationship between the graphs c Explain the result from part b algebraically 16 a Graph the functions f x and 5 b Compare the graphs drawn in part a What is the relationship between the graphs c Explain the result from part b algebraically gx on the same set of axes Sketch a graph of each of the following functions Note You do not need to plot points Be sure to label at least one key point on your graph and show any asymptotes 17 fx8 18 fxle 19 fx02x 20 fxl4x Z X 21 fx2 22 fx Chapter 3 Exponential and Logarithmic Functions Exercise Set 31 Exponential Equations and Functions For each of the following examples 39 fx 84X 32 a Find any intercepts of the function h Use transformations the concepts of re ecting shifting stretching and shrinking to sketch the graph of the function Be sure to 40 fx 5H 71 label the transformation of the point 0 1 41 fx 76X 7 36 Clearly label any intercepts and0r asymptotes 42 fx 72 X 16 c State the domain and range of the function d State whether the graph is increasing or 43 f x 2 3X decreasing 44 x L5X 23 fx 2 1 f 2 24 f x 3H2 Find the exponential function of the form fx C aquot which satis es the given conditions 25 f x 75X 45 Passes through the points 0 4 and 3 32 3 x 26 7 fx 4 46 Passes through the pomts 0 3 and 2108 27 fx 8 X 47 Passes through the points 0 2 and 71 28 fx 10X 48 Passes through the points 0 7 and 7 2 7 1 X 29 fx 3 7 4 True or False Answer these without using a calculator 30 fx 4 7 8 49 e2 lt9 31 fx 9 2 727 50 62 gt 4 32 fx 7 7 51 J lt 2 33 fx74 12 52 JEgt1 34 fx 78 32 53 e 1 lt 0 35 fx973 4 54 71 gt0 3 36 fx 7257 5H3 55 e gt 27 56 e lt 37 fx 3 57 e0 1 3s fx 4 3 58 e1 0 Math 1330 Precalculus The University OfHOLISZ OH Chapter 3 Experiential and Logarithmic Functions Exercise Set 31 Exponential Equations and Functions Answer the following 59 60 61 62 Graph fx 2X and gx eX on the same set of axes Graph fx eX and gx 3X on the same set of axes Sketch the graph of f x eX and then find the following a Domain b Range c Horizontal Asymptote d yintercept Sketch the graph of f x 3X and then find the following a Domain b Range c Horizontal Asymptote d yintercept e How do your answers compare with those in the previous question Graph the following functions not by plotting points but by applying transformations to the graph of y equot Be sure to label at least one key point on your graph the transformation of the point 0 1 and show any asymptotes Then state the domain and range of the function 63 64 65 66 67 68 69 70 fx isex fx 2e fx 7 6 fx 1 fx 6 3 f x e 7 2 f x 746 7 5 fx 2e 7 4 Math 1330 Precalculus The University OfHOLISZ OH 71 fx e X A 73 72 fx 3 2 Chapter 3 Experiential andLagari zmic Functions

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