Podcast Beta
Questions and Answers
What is the formula for the area 'A' of a square in terms of its side 'x'?
The formula for the area 'A' of a square in terms of its side 'x' is $A = x^2$.
What is the formula for the volume 'V' of a sphere in terms of its radius 'r'?
The formula for the volume 'V' of a sphere in terms of its radius 'r' is $V = \frac{4},{3}\pi r^3$.
Define a function according to the given text.
A function is a rule or correspondence that assigns to each element in one set a unique element in another set.
What is the domain of a function 'f' from a set 'X' to a set 'Y'?
Signup and view all the answers
What is the range of a function 'f' from a set 'X' to a set 'Y'?
Signup and view all the answers
Functions are important tools by which we describe the real world in mathematical terms. They are used to explain the relationship between variable quantities and hence play a central role in the study of ______
Signup and view all the answers
A function is a rule or correspondence, relating two sets in such a way that each element in the first set corresponds to one and only one element in the second set. Thus in, (i) above, a square of a given side has only one area. And in, (ii) above, a sphere of a given radius has only one volume. Now we have a formal ______
Signup and view all the answers
A Function f from a set X to a set Y is a rule or a correspondence that assigns to each element x in X a unique element y in Y. The set X is called the ______ of f. The set of corresponding elements y in Y is called the range of f
Signup and view all the answers
The area 'A' of a square depends on one of its sides 'x' by the formula $A = x^2$, so we say that A is a function of ______
Signup and view all the answers
The volume 'V' of a sphere depends on its radius 'r' by the formula $V = 4\pi r^3$, so we say that V is a function of ______
Signup and view all the answers
