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

Find the derivations of functions, Find the derivatives of each of the foll...

Find the derivatives of each of the following functions, and their points of maximization or minimization if possible. a.  TC = 1500 - 100 Q + 2Q 2 b.  ATC = 1500/Q - 100 +

Graph of a function, Graph of a function Help me in understanding the ...

Graph of a function Help me in understanding the concept of graph of a function in linear algebra and matrices.

Fractions, #how do I add fractions?

#how do I add fractions?

Formulas, all formulas of plane figures

all formulas of plane figures

Precalculus, how does sin of x equal negative 1/3

how does sin of x equal negative 1/3

How many miles did she average per day, Katie ran 11.1 miles over the last ...

Katie ran 11.1 miles over the last three days. How many miles did she average per day? To ?nd out the average number of miles, you should divide the total number of miles throu

Find the value of delta, Consider the given graph G below. Find δ( G )=__...

Consider the given graph G below. Find δ( G )=_____ , λ( G )= _____ , κ( G )= _____, number of edge-disjoint AF -paths=_____ , and number of vertex-disjoint AF -paths= ______

Area and surface Are, I cant figure out how to study for my math test

I cant figure out how to study for my math test

The equation of the tangent, Consider the function f(x) = 2x 2 + 1. Find ...

Consider the function f(x) = 2x 2 + 1. Find the equation of the tangent to the graph of f(x) at x = 2. [NOTE: when calculating f'(2), use first principles.

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