MAC 1140C Lecture Notes - Farad, Piecewise

• School: UCF
• Department: Mathematics Calculus/Precalc
• Course: MAC 1140C
• Professor: Dr. Rachid Ait Maalem Lahcen

Document Summary

Pre calculus chapter 1 introduction to functions lecture notes. Conditions to find the domain of a function: denominators cannot equal zero, radicals and roots cannot have a negative value, logarithms can only be positive values. Finding the domain of a function with a fraction. f(x)= 2x/x2-4. Finding the domain of a function with a square root. Set the terms inside the radical greater than or equal to 0. Finding the domain of a function with a square root when there are multiple solutions. Check that numbers lower then -2 yield a number higher then 0. Check between -2 and 2 so you know the number between -2 and 2 don"t work. Check above 2 so you know numbers over 2 don"t work. Vertical line test: way to test that each input has only one output. Example problems: f(x)=5x+7 f(4)= 5(4)+7= 27 f(-x)= 5(-x)+7= -5x+7. Difference quotient: f(x+h)-f(x)/h where h doesn"t equal zero. A function is increasing if x1