Working definition of function, Mathematics

Assignment Help:

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.


Related Discussions:- Working definition of function

How do children learn maths?, HOW DO CHILDREN LEARN? : Have you ever tried...

HOW DO CHILDREN LEARN? : Have you ever tried teaching a young child what "ball" means? Did you do it by a lot of verbal description" Or did you let the child actually handle a b

Proportions, How would you solve this question? 4/5 = 8/x+2

How would you solve this question? 4/5 = 8/x+2

Compute the total and annual return on the investment, 1. Calculate the ann...

1. Calculate the annual interest that you will receive on the described bond-A $500 Treasury bond with a current yield of 4 .2% that is quoted at 106 points? 2. Compute the tota

Arc length with polar coordinates, Arc Length with Polar Coordinates H...

Arc Length with Polar Coordinates Here we need to move into the applications of integrals and how we do them in terms of polar coordinates.  In this part we will look at the a

Velocity problem, Velocity Problem : Let's look briefly at the velocity pr...

Velocity Problem : Let's look briefly at the velocity problem.  Several calculus books will treat it as its own problem.  .  In this problem we are given a position function of an

Express the negation of the statement, States the negation of the statement...

States the negation of the statement ∀x ∃y (xy = 1) so that no negation precedes a quantifier. Ans: The negation of the following statement is written as ~ [∀x ∃y (xy = 1)]. An

Plus, 236+2344+346=

236+2344+346=

Fractions, A recipe calls for 2 1/4 teaspoons of salt for every 1 1/8 teasp...

A recipe calls for 2 1/4 teaspoons of salt for every 1 1/8 teaspoons of black pepper used. How many teaspoons of salt are needed for each teaspoon of pepper used ?

first person drawn was named the class president, Consider a class of 55 s...

Consider a class of 55 students. The student names are placed in a hat & 3 names are randomly drawn without replacement. a)     If the first person drawn was named the class presi

Explain measurement conversions in details, Explain Measurement Conversions...

Explain Measurement Conversions in details? The following tables show measurements of length, distance, and weight converted from one system to the other. Length and Distanc

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd