SOLVING QUADRATIC EQUATIONS BY FACTORIZATION
Quadratic equations have the general form ax2 + bx + c = 0, provided that a ≠ 0. Here are some examples of quadratic equations: x2 – 4x – 5 = 0 [a = 1, bRead More
THE ABC OF THE QUADRATIC FORMULA
A quadratic equation is an equation of the general form ax2 + bx + c = 0 where a ≠ 0. There are several techniques that can be used to find its roots. One of them is by factorization, whichRead More
QUADRATIC FUNCTIONS
A function f from to is called a quadratic function if for some a, b, c ∈ f(x) = ax2 + bx + c, provided that a ≠ 0. The graph of a quadratic function is a parabola, whose shapeRead More
INJECTIVE AND SURJECTIVE FUNCTIONS
One-one Functions Let A and B be sets and f is a function from A to B. The function f is called a one-one function or an injective function if the following holds: f(a) = f(b) ⇒ a =Read More
SKETCHING THE GRAPHS OF SINE AND COSINE FUNCTIONS
How to graph the function for 0 ≤ x ≤ 2π? If we already know the graph of y = sin x, then with the techniques provided below, the graph of the function can be easily drawn. Let’s first lookRead More