Find the Domain and the Range of the function Solution: For real values of , the quantity cannot be negative. Subtract from both sides of this inequality. Multiply this inequality with (Note that multiplying by a negative number reverses the
Vertical Line Test for a Function: Not every curve in the coordinate plane can be the graph of a function. Using vertical line test, we can figure out whether a given curve is the graph of a function or not.
Why are even functions called ‘even’, and odd functions called ‘odd’? A function is an even function of if odd function of if for every in the function’s domain. The names even and odd comes from the powers of .
Consider the sets A and Z related to each other as shown below: Clearly, every element in set A is related to exactly one element in the set Z. So, the given relation is a function. The element 2 in
Functions are a tool to describe the real world in mathematical terms. > The area of a circle depends on the radius of the circle. > The distance an object travels at constant speed along a straight line path depends
How to tell if a function is even, odd or neither? A function is an even function of if odd function of if for every in the function’s domain. The names even and odd comes from the powers of .