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State whether the following graphs are even, odd or neither, show ALL work. 77. 78. 79. 81. N f(x)=2x¹ - 5x² h(x)=2x² - 5x+3 80. 82. H g(x)=x²-3x³ + x j(x) = 2 cos x y

State whether the following graphs are even, odd or neither, show ALL work. 77. 78. 79. 81. N f(x)=2x¹ - 5x² h(x)=2x² - 5x+3 80. 82. H g(x)=x²-3x³ + x j(x) = 2 cos x y

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section: Chapter Questions
Problem 28P
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Recall: Even functions are functions that are symmetric over the y-axis. To determine algebraically we find out if f(x) = f(-x) (*Think about it what happens to the coordinate (x, f(x)) when reflected across the y-axis*) Odd functions are functions that are symmetric about the origin. To determind algebraically we find out if f(-x) = -f(x) (*Think about it what happens to the coordinate (x, f(x))when reflected over the origin*) State whether the following graphs are even, odd or neither, show ALL work. 77. 78. 79. 81. 83. EVEN AND ODD FUNCTIONS f(x)=2x¹-5x² h(x)=2x²-5x+3 k(x) = sinx +4 80. 82. 84. 16 g(x)=x²-3x³ + x j(x) = 2 cos x l(x)=cosx−3
Transcribed Image Text:Recall: Even functions are functions that are symmetric over the y-axis. To determine algebraically we find out if f(x) = f(-x) (*Think about it what happens to the coordinate (x, f(x)) when reflected across the y-axis*) Odd functions are functions that are symmetric about the origin. To determind algebraically we find out if f(-x) = -f(x) (*Think about it what happens to the coordinate (x, f(x))when reflected over the origin*) State whether the following graphs are even, odd or neither, show ALL work. 77. 78. 79. 81. 83. EVEN AND ODD FUNCTIONS f(x)=2x¹-5x² h(x)=2x²-5x+3 k(x) = sinx +4 80. 82. 84. 16 g(x)=x²-3x³ + x j(x) = 2 cos x l(x)=cosx−3
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