MATH 1004 Lecture Notes - Lecture 12: Dependent And Independent Variables, Triangle Inequality

• School: Carleton University
• Department: Mathematics
• Course: MATH 1004
• Professor: Glenn Mc Rae

Document Summary

Ran (f ) is range of f x is just a symbol and could be anything else like (cid:3), , : box method: If f (x) = x2 + 1, it could be write as f ((cid:3)) = (cid:3)2 + 1 where (cid:3) could be any statement, eg. 3x + 2, so f ( 3x+2 ) = 3x+2. ; f ( g(t) = t3 sin t g(x + 1) =? f (x) = 2x2 x + 1 f (x + h) f (x) Let f be de ned by (cid:40) f (x) = x + 3, x2, if 1 x 2 if x > 2. This function is said to be de ned in pieces, since it takes on di erent values de- pending on values of x. 2 < x 4: absolute value of a function. The function whose rule is de ned by setting is called the absolute value function.