2 Quadratic functions
Instructor
Soheil Moshiri
- Description
- Curriculum
2.1 Find the maximum or minimum value of the quadratic function f : x ↦ ax ^2 + bx + c by completing the square or by differentiation
2.2 Use the maximum or minimum value of f(x) to sketch the graph of y = f(x) or determine the range for a given domain
2.3 Know the conditions for f(x) = 0 to have: (i) two real roots (ii) two equal roots (iii) no real roots and the related conditions for a given line to: (i) intersect a given curve (ii) be a tangent to a given curve (iii) not intersect a given curve.
2.4 Solve quadratic equations for real roots
2.5 Find the solution set for quadratic inequalities either graphically or algebraically