Unit 8 - algebra 2

Question 1

What does covered circle or blank circle mean about inequality?

Answer 1

Covered circle - more than or equal to/less than or equal to
Blank circle - more than/less than

Question 2

State 3 discriminants and what solutions they give

Answer 2

1. b^2 - 4ac > 0 two real solutions
2. b^2 - 4ac = 0 one real solution
3. b^2 - 4ac < 0 no real solutions

Question 3

How to graph inequalities?

Answer 3

1. Draw the line (e.g. x<2)
   If it is more than, line is dotted; if it is more than or equal 2 line is filled
2. Shade side which does not fulfill equation, draw R on side which does

Question 4

2x^2 -9x +10 is more than or equal to 0, factorize it and find the range

Answer 4

1. factorize it to get (2x-5)(x-2)
2. This means that x is smaller than 2.5 but bigger than 2
3. Since it says more than or equal to 0, it will be written like x>2.5, x<2; this shows the two sides of the parabola above the x axis. If it would be smaller than 0, it would be written like 2<x<2.5 to show the curved, connected part under x axis