mac1140_lecture16_1

# mac1140_lecture16_1 - L16 3.3 Linear Functions Definition....

This preview shows pages 1–4. Sign up to view the full content.

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?

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
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 =
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.

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

## 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.

### Page1 / 11

mac1140_lecture16_1 - L16 3.3 Linear Functions Definition....

This preview shows document pages 1 - 4. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online