...quantities are so related that the magnitude or value of the one depends on the magnitude or value of the other, the one is said to be a function of the other. Thus, as the square of a number, or the square described on a line, is larger or smaller according as the...

...3. When one quantity is so connected with another that the value of the one depends upon the value of the other, the one is said to be a function of the other. In the above equation, y is a function of x. 3. Trigonometric Functions of an Acute Angle. Let MAN...

...are related to one another in such a way that to each value of the one corresponds a definite value of the other, the one is said to be a function of the other. The variables being x and y, we express this by the equation y=f(x) ; in which case a; and y are called...

...eg the radius of a sphere and its volume — are so related that a change in one causes a change in the other, the one is said to be a function of the other. The ratio of the rates at which they change is termed the differential coefficient or fluxion of the...

...Definition of Function. When two variables are so related that the value of the one depends upon the value of the other, the one is said to be a function of the other. EXAMPLES. The area of a square is a function of its side. The volume of a sphere is a function of its...

...variables are so related that for every value of one there is a corresponding value of the other, then the one is said to be a function of the other. Thus in the formula for the area of a circle, A = irr^, for every value of r there is a value of A. Then...