mac1140_lecture16_1

mac1140_lecture16_1 - L16 3.3 Linear Functions Definition....

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132 L16 §3.3 Linear Functions Definition . A function f is called a linear function if () fx a x b = + , where a and b are real numbers. Important : The next definitions apply to any relation (, ) 0 Fx y = x-intercept(s) : The x -value(s) for which the graph intersects the x -axis. To find, we set _________ and solve for x . y-intercept(s) : The y -value(s) for which the graph intersects the y -axis. To find, we set _________ and solve for y . A function cannot have more than one y -intercept. Why?
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133 An equation of a line is in a standard form if it is written as A xB yC + = , where A, B, and C are real numbers, and A and B are not both equal to zero. A particular case of a standard form is intercepts form 1 x y ab + = , where a and b ( ,0 ) are x - and y -intercepts, respectively. Example . Graph the following linear functions: a) 3 4 12 x y −+ = b) 3 () 2 fx x =
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134 Definition: The slope m of a nonvertical line is the quotient of the change in y (Rise) and the change in x (Run) that is: 1 2 1 2 x x y y x y Run Rise m = = = where ) , ( ), , ( 2 2 1 1 y x y x are any two different points on the line.
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This note was uploaded on 02/29/2012 for the course MAC 1140 taught by Professor Gregory during the Fall '11 term at Broward College.

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mac1140_lecture16_1 - L16 3.3 Linear Functions Definition....

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