1. Identify a mathematician that contributed to the development of theory of functions in 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 ? 4. 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 are included in the solution set of a quadratic inequality and when they are not included. Added NOTE: For question 3, students should just given a brief description, in writing, of how you would solve y=mx+c for x. Don't solve it, just say how you would do it and answer the remainder of the question as well.
1. Identify a mathematician that contributed to the development of theory of functions in 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 ?
4.
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 are included in the solution set of a quadratic inequality and when they are not included.
Added NOTE:
For question 3, students should just given a brief description, in writing, of how you would solve y=mx+c for x. Don't solve it, just say how you would do it and answer the remainder of the question as well.
Step by step
Solved in 2 steps
