MATH 112 Lecture Notes - Lecture 15: Completing The Square, Quadratic Formula, Vertex Function

• School: University of Arizona
• Department: Mathematics Main
• Course: MATH 112
• Professor: Joseph Arreguin

Document Summary

1. the graph below shows the child mortality rate in india as a function of time over several decades. Call this function m=f(t), where t is the year. Use this graph to estimate f-1(200) and give a practical interpretation. Find the x value corresponding this y value. x=1970. the meaning for this point is the child mortality rate is 200 in 1970. Some notation f(x)+g(x)=(f+g)(x) f(x)-g(x)=(f-g)(x) f(x)g(x)=(fg)(x) f(x)/g(x)=(f/g)(x) f(x)=y the inverse function is f-1(y)=x. They have different uses and can be transferred to one another. Vertex form: tell us the vertex which is (h,k). 4 tells us going right, +5 tells us going up and +2 tells us stretch. The general from can not tell us these. Factored form: it can tell us the roots. The minimum or maximum y value by finding the corresponding x value first by taking the average of the two roots. A quadratic has zero, one or three vertex. ( only these three cases)