MATH-UA 121 Lecture 7: If two lines are parallel

• School: New York University
• Department: Math
• Course: MATH-UA 121
• Professor: Niu Xiaodong

Document Summary

If two lines are parallel, then they have the same slope (if they have a slope). If two lines have a slope and they are parallel, then the slopes are equal. Function: relation such that for each element in a (domain) there is a single element in. ~ f (x0) is a maximum value for f(x) in its domain d. f (x0) >= f(x) ~ f (x0) is a minimum value for f(x) in its domain d. f (x0) <= f(x) ~ if x1< x2 & f(x1) < f(x2), then f(x) is increasing. ~ if x1< x2 & f(x1) > f(x2), then f(x) is decreasing. Point-slope: y y0 = m (x x0) General form: ax + by + c =0. Turning point: when the graph changes from increasing to decreasing or vice versa. Average rate of change at interval [a, b] Piecewise-defined function: definition changes depending on the value of the independent variable.