Let IJ.lI 2 3J.lI 0 IJI be ordered bases for R3. Let v =[- I 4 5] and o 0]'[1 0 w = [2 0 -6] . Follow the directions for (a) through (f) in Exercise 15.

Week 3 Chapter 1: Functions and Models 1.1 Function – a rule/pattern we determine from data points to predict values where data is missing (each x value has one y value) x→F →F(x) input functionoutput A function can only be a function if it passes the vertical line test (i.e. each x value has no more than one y value) A function is one-to-one if it passes the horizontal line test (i.e. each y value does not have more than one x value) Ex1. Give an equation, domain, and range for this graph: Equation: f(x= {+2,∧x<0 x ,∧x≥0 Domain: (−∞,∞) Range: −∞,−1 )∪¿ Ex2. Sketch a graph and give the domain & range for this equation: f( )=−2− 1√x Graph: Domain: ¿ Range: ¿ Even, Odd, and Neither functions: o Even function: when f (−x)= f (x) o Odd function: when f (−x)=−f (x) o Otherwise it is neither Increasing vs. Decreasing functions: o A function is increasing on the interval I if f (1) f ( 2henever x 1x 2 in I o A function is decreasing on the interval I if f x > f x whenever x