Functions and graphs Flashcards
What is meant by :- {–2 ≤ x ≤ 2} ?
{–2 ≤ x ≤ 2} is simply a mathematical way of saying “consider all the numbers (the x-values), from –2 up to 2.
How can we identify a quadratic function?
(A quadratic function always has an x2 term).
What is a parabola?
the U-shape you obtain from a quadratic function - this is always the case - a parabola.
In function notation what do f(x) and y effectively represent?
In function notation, f(x) and y effectively represent the same thing.
On a coordinate diagram what does x measure?
On a coordinate diagram :-
x measures the distance a point is measured horizontally
On a coordinate diagram what does y or f(x) measure?
f(x) and y measures the distance the point is vertically up or down from the origin.
How can you tell in advance by just looking at the quadratic function whether it will be a normal u shape graph (a minimum)?
it will have a positive x square
How can you tell in advance, by just looking at the quadratic function it is an upside down u shape (inverted) giving a “maximum”?
It will have a negative x square.
What is a root?
The two values of x where the graph cuts the x-axis are called the zeros or the roots of
the quadratic function. Remember the root looks like x=3 for example.
What is a minimum turning point?
The lowest coordinates on the graph.
