Reference no: EM133084442

Identify a mathematician that contributed to the development of theory of functions in   

1. Mathematics. State the contribution made and why was it so important to the field of Mathematics.  
2. If a third-degree polynomial has a lone x-intercept at x a =, discuss what this implies about the linear and quadratic factors of that polynomial.  
3. Describe verbally how to solve y mx c= + . What assumptions have you made about the value of m? 
   a. Can a quadratic function have a range of (- ∞, ∞)? Justify your answer. 
   b. Discuss the possibilities for the number of times the graphs of two different quadratic functions intersect? 
   c. Discuss the circumstances under which the x-intercepts of the graph of a quadratic function is included in the solution set of a quadratic inequality and when they are not 
   included. 

Relevant Course Objectives:

1. Identify a function

2. Use function notation

3. Use the remainder and factor theorem

4. Identify special characteristics of the linear, quadratic, and cubic function graphs