Question

relation, function, functional notation, x-intercept, y-intercept, axis of symmetry, maximum (of a function), minimum (of a function) and vertex. explain any two of these terms and explain the term to your classmates in your own words. then explain with a supporting example how you will graph a quadratic function

Answer 1

Relation: Lets consider Set A and Set B then the ordered pair (a,b) which belongs to the cartesian product of set A and set B that is A X B are said to be in relation.

Generally the relation is represented by the capital letters.

if a and b are in relation then it is given by

aRb it is read as : a is related to b.

e.g, A= {1,2,3}; B={2,4,}

A*B={(1,2),(1,4),(2,2),(2,4),(3,2),(3,4)}

R: a<b ## Relation

R={(1,2),(1,4),(2,4),(3,4)}

Function: A function from set A to set B is a special kind of relation which assigns every element of set A to unique element of set B.

if f is a function from set A to Set Bthen it is denoted by

if we write

y=f(x)

e.g. A={1,2,3) ; B={1,2,3,4,5,6,7,8,9}

let y= x²

Then f={(1,1),(2,4),{3,9)}

Here Set A is calld as domain of function and set B is called co-domain.