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# Review Sheet for MATH 1330 at UH

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This 4 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 19 views.

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Date Created: 02/06/15

Exercise Set 12 Functions and Graphs Answer the following c Find the yintercepts of the function d Find the following function values g2 g0 g0 g3 g6 e For what values ofx is gx 72 15 The graph of y fx is shown below t On what intervals is g increasing g On what intervals is g decreasing h What is the maximum value of the function i What is the minimum value of the function 17 The graph of y gx is shown below 21 Find the domain of the function Write your answer in interval notation b Find the range of the function Write your answer in interval notation c Find the yintercepts of the function d Find the following function values fr2 fO f4 f e For what values ofx is fx 9 72 t On what intervals is f increasing 2 on What interVaKS isfdecreasmg 21 Find the domain of the function Write your h What is the maximum value of the function answer m Interval nOtauOn39 Find the range of the function Write your i What is the minimum value of the function h answer in interval notation c How many xintercepts does the function have 1639 The graph Of y got ls Shown below d Find the following function values y g2 g0 g2 g4 g6 s g e Which is greater g72 or g3 t On what intervals is g increasing g On what intervals is g decreasing 72 Continued on the nextpage 21 Find the domain of the function Write your answer in interval notation b Find the range of the function Write your answer in interval notation Math 1330 Precalculus The University of Houston Chapter I A Review QfFunctions Exercise Set 12 Functions and Graphs 18 The graph of y f x is shown below 72 a Find the domain of the function Write your answer in interval notation b Find the range of the function Write your answer in interval notation c Find the xintercepts of the function d Find the following function values f3 f2 f1 f0 f4 e Which is smaller f0 or f3 1 On what intervals is f increasing g On what intervals is f decreasing For each of the following functions a b C 19 20 21 22 23 24 State the domain of the function Write your answer in interval notation Find the intercepts 0f the function Choose xvalues corresponding to the domain of the function calculate the corresponding y values plot the points and draw the graph of the function fx7x6 fxxi4 hx3x75 il xlt3 hx72x 73ltx 2 gxx73 gxx74 Math 1330 Precalculus The University of Houston 25 26 27 28 29 30 31 32 fobE eaE Fxx274x sways2 1 fxx3l fxx4716 goo2 X kg 7 For each of the following piecewisedefined functions a b C 33 34 35 36 37 38 State the domain of the function Write your answer in interval notation Find the yintercept 0f the function Choose xvalues corresponding to the domain of the function calculate the corresponding y values plot the points and draw the graph of the function 2x4 if 72 xltl fx77x3ifl x 5 x2 if 73 x 0 x 74x31fxgt0 31f xlt 2 fooiiiiifxz 7 74 if 75 xltl x 2if1gxg3 f 4 if xlt0 x x2l if x20 37x 1fxgl x f 73 1f xgtl Chapter I A Review QfFunctions Exercise Set 12 Functions and Graphs x if x 73 39 fx x2 if 73ltxlt2 4 if x22 x275 if xlt0 40 fx 1 if 0 x 3 27x if xgt3 Answer the following 41 a If a function is odd then it is symmetric with respect to the xaxis yaxis or origin b If a function is even then it is symmetric with respect to the xaxis yaxis or origin 42 a If a function is symmetric with respect to the yaxis then the function is Odd even both or neither b If a function is symmetric with respect to the origin then the function is Odd even both or neither 43 Suppose that y f x is an odd function and that 73 6 is a point on the graph of f Find another point on the graph 44 Suppose that y f x is an even function and that 2 7 7 is a point on the graph off Find another point on the graph Determine whether each of the following functions is even odd both or neither 45 m x3 7 5x 46 fx x2 3x 47 fx x4 2x2 48 m x5 2x3 49 fx 2 x2 75x1 50 m 3x6 12 X Math 1330 Precalculus The University of Houston Chapter I A Review QfFunctions Exercise Set 12 Functions and Graphs Determine whether or not each of the following graphs represents a function 1 y 2 y L 3 7 vL 4 if g lt4 5 y fr 639 4 W 7 y gt s y Math 1330 Precalculus The University afHoustan 10 For each set of points 239 Graph the set of points b Determine whether or not the set of points 11 12 represents a function Justify your answer 1 5 2 4 3 4 2 1 3 6 73 2 1 2 o 73 21 41 Answer the following 13 14 Analyze the coordinates in each of the sets above Describe a method of determining Whether or not the set of points represents a function Without graphing the points Determine Whether or not each set of points represents a function Without graphing the points Justify each answer a 43 1 7 L 5 51 41 b 63 4 3 2 3 13 5 3 c 3 6 1 4 3 2 1 3 35 d 4 5 12 25 5 2 5 2 Continued on the nexlpage Chapter I A Review ofFunctions

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