Working definition of function, Mathematics

A function is an equation for which any x which can be plugged into the equation will yield accurately one y out of the equation.

There it is. i.e. the definition of functions which we're going to employ and will probably be easier to decipher just what it means.

Before we study this a little more note that we utilized the phrase "x which can be plugged into" in the definition. It tends to imply that not all x's can be plugged in an equation & it is actually correct. We will come back & discuss it in more detail towards the end of this section, though at this point just remember that we can't divide by zero & if we desire real numbers out of the equation we can't take the square root of a -ve number.  Thus, with these two instances it is clear that we will not always be capable to plug in every x into any equation.

Further, while dealing along with functions we are always going to suppose that both x and y will be real numbers.  In other terms, we are going to forget that we know anything regarding complex numbers for a little bit whereas we deal with this section.

Okay, with that out of the way let's get back to the definition of a function & let's look at some instance of equations which are functions & equations that aren't functions.

Posted Date: 4/6/2013 6:18:27 AM | Location : United States







Related Discussions:- Working definition of function, Assignment Help, Ask Question on Working definition of function, Get Answer, Expert's Help, Working definition of function Discussions

Write discussion on Working definition of function
Your posts are moderated
Related Questions
EVERY TIME I TRY TO DO ANY KIND OF FRACTIONS WELL MULTIPLYING I ALWAYS GET IT WRONG

Simultaneous equations by substitution: Solve the subsequent simultaneous equations by substitution. 3x + 4y = 6      5x + 3y = -1 Solution: Solve for x: 3x = 6

The amount of particulate matter left in solution during a filtering process is given by the equation p(n) = 500(2) -0.8n , where n is the number of filtering steps. Find the amoun

Round 14.851 to the nearest tenth? The tenths place is the ?rst number to the right of the decimal. Here the number 8 is in the tenths place. To decide whether to round up or

Find the probability of drawing a diamond card in each of the two consecutive draws from a well shuffled pack of cards, if the card drawn is not replaced after the first draw


x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2

Find the Determinant and Inverse Matrix (a) Find the determinant for A by calculating the elementary products. (b) Find the determinant for A by reducing the matrix to u

A rectangular container is 15 cm wide and 5 cm long, and contains water to a depth of 8 cm. An object is placed in the water and the water rises 2.3 cm. Determine the volume of the

can i get some triangle congruence proofs help?