Function notation, Mathematics

Assignment Help:

Function notation: Next we have to take a rapid look at function notation. Function notation is nothing more than way of writing the y in a function which will let to simplify notation and some of our work a little.

Let's take a look at the given function.

                    y = 2 x2 - 5x + 3

Using function notation we can write this as any of the following.

f ( x ) = 2x2 - 5x + 3                                       g ( x ) = 2 x2 - 5x + 3

h ( x ) = 2 x2 - 5x + 3                                     R ( x ) = 2 x2 - 5x + 3

w ( x ) = 2 x2 - 5x + 3                                     y ( x ) = 2 x2 - 5x + 3

Remember again that it is not a letter times x, it is just a fancy way of writing y. hence, why is this useful? Well let's take the function above & get the value of the function at x=-3.  By using function notation we represent the value of the function at x=-3 as f(-3).  Function notation provides us a nice compact way of representing function values.

Now, how do we in fact evaluate the function? That's actually simple.  Everywhere we illustrate an x onto the right side we will substitute whatever is in the parenthesis on the left side. For our function it gives,

                   f ( -3) = 2 ( -3)2  - 5 ( -3) + 3

                             = 2 (9) + 15 + 3

                               = 36


Related Discussions:- Function notation

Hypothesis testing, Hypothesis Testing Definition of Hypothesis Testing...

Hypothesis Testing Definition of Hypothesis Testing - A hypothesis is a claim or an opinion about an issue or item.  Hence it has to be tested statistically in order to esta

Matrices, what are eigen values

what are eigen values

5th grader, my qustion is how do you muliply frations

my qustion is how do you muliply frations

Understand the terms quotient and remainder, What other activities can you ...

What other activities can you suggest to help a child understand the terms 'quotient' and 'remainder'? Once children understand the concept and process of division, with enough

Variance-measure of central tendency, Variance Square of the standard...

Variance Square of the standard deviation is termed as variance. The semi inter-quartile range - It is a measure of dispersion which includes the use of quartile. A q

Maximum and minimum values, Find all the local maximum and minimum values a...

Find all the local maximum and minimum values and saddle points of the function f(x, y) = x 2 - xy + y 2 + 9x - 6y + 10

Example of complex roots, Solve the subsequent IVP. y'' - 4y' + 9y = 0, ...

Solve the subsequent IVP. y'' - 4y' + 9y = 0, y(0) = 0, y'(0) = -8 Solution The characteristic equation for such differential equation is. As:  r 2 - 4r + 9 = 0

Solution set of equation, The complete set of all solutions is called as th...

The complete set of all solutions is called as the solution set for the equation or inequality.  There is also some formal notation for solution sets.  We have to still acknowledge

Projections - vector, Projections The good way to understand projection...

Projections The good way to understand projections is to see a couple of diagrams. Thus, given two vectors a → and b → we want to find out the projection of b → onto a → . T

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