3.4_Library_of_functions

3.4_Library_of_functions - 3.4 Library of functions 1...

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Unformatted text preview: 3.4 Library of functions 1 Linear function, y = mx + b 3 2 y = 2x + 1 1 − 4 − 3 − 2 − 1 1 2 3 4 − 1 − 2 − 3 2 Quadratic function, y = ax2 + bx + c 3 2 y = x^ 2 ( ­ 1, 1 ) 1 ( 1, 1 ) − 4 − 3 − 2 − 1 ( 0 , 0) − 1 1 2 3 4 − 2 − 3 3 Cubic function, y = ax3 + bx2 + cx + d 3 2 y = x^ 3 1 ( 1, 1) −4 −3 −2 −1 ( 0, 0) −1 1 2 3 4 ( ­ 1, ­ 1) −2 −3 4 Square root function, y = √x 3 ( 4 , 2 ) 2 1 ( 1 , 1 ) −4 −3 −2 −1 ( 0 , 0 ) −1 1 2 3 4 −2 −3 5 Absolute value function 3 a if a= − a if a≥0 a<0 ( ­ 1 , 1 ) 2 1 ( 1 , 1 ) −4 −3 −2 −1 ( 0 , 0 ) −1 1 2 3 4 −2 −3 6 Reciprocal functions, y = 1/x, y = 1/x2 4 4 3 3 2 2 1 1 −4 −3 −2 −1 −1 1 2 3 4 −4 −3 −2 −1 −1 1 2 3 4 −2 −2 −3 −3 −4 −4 vertical asymptotes: x = 0 horizontal asymptotes: y = 0 7 ...
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