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

Progressions, what value of k is he sequence 2k+4,3k-7,k+12 are in an arith...

what value of k is he sequence 2k+4,3k-7,k+12 are in an arithmetic sequence is

Ms. Smith, How can I use the I=Prt formula to get the interest for this pro...

How can I use the I=Prt formula to get the interest for this problem? A car dealer sells me a car for $16450 with $3,290 down and $339.97 monthly payments for 48 months. What is

., Two boys A and B are at two diametrically opposite points on a circle. A...

Two boys A and B are at two diametrically opposite points on a circle. At one instant the two start running on the circle; A anticlockwise with constant speed v and B clockwise wit

Explain what is symmetry in maths, Symmetry Definition : A line of sy...

Symmetry Definition : A line of symmetry divides a set of points into two halves, each being a reflection of the other. Each image point is also a point of the set. Defin

Find the area of shaded region of circle of radius, Find the area of shaded...

Find the area of shaded region of circle of radius =7cm, if ∠AOB=70 o , ∠COD=50 o and ∠EOF=60 o . (Ans:77cm 2 ) Ans:    Ar( Sector AOB + Sector COD + Sector OEF) =  7

#titleBUsiness calculus.., If $2,000 is invested in a savings account offer...

If $2,000 is invested in a savings account offering interest at a rate of 3.5% per year, compounded continuously, how fast is the balance growing after 8 years? (Round your answer

Length of the hypotenuse , A right triangular prism has volume equal to 288...

A right triangular prism has volume equal to 288 cm^3. The height of the prism is 3 cm. One of the bases of the triangular face (not the hypotenuse) is equal to 12 cm, determine th

Find the number of students side of the square, A teacher on attempting to ...

A teacher on attempting to arrange the students for mass drill in the form of a solid square found that 24 students were left over. When he increased the size of the square by one

probability: complying with this treatment, A national study found that tr...

A national study found that treating people appropriately for high blood pressure decreased their overall mortality rate by 20%. Treating people adequately for hypertension has bee

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