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 common difference & write the next 3 terms, If the following terms...

If the following terms form a AP. Find the common difference & write the next 3 terms3, 3+ √2, 3+2√2, 3+3√2.......... Ans:    d= √2 next three terms 3 + 4 √ 2 , 3 + 5√ 2 ,

Vector calculus, If F ( x,y, z) = x y² y4 i + ( 2x2 y + z) j - y3 z² k, fin...

If F ( x,y, z) = x y² y4 i + ( 2x2 y + z) j - y3 z² k, find: i). question #Minimum 100 words accepted#

Decimal representations of some basic angles, Decimal representations of so...

Decimal representations of some basic angles: As a last quick topic let's note that it will, on occasion, be useful to remember the decimal representations of some basic angles. S

Fundamental theorem of calculus, Fundamental Theorem of Calculus, Part I ...

Fundamental Theorem of Calculus, Part I As noted through the title above it is only the first part to the Fundamental Theorem of Calculus. The first part of this theorem us

Limit, limit x APProaches infinity (1+1/x)x=e

limit x APProaches infinity (1+1/x)x=e

Find the 14th term in the arithmetic sequence. 60, Find the 14th term in t...

Find the 14th term in the arithmetic sequence. 60, 68, 76, 84, 92

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

Construct a venn diagram, In a survey of 85 people this is found that 31 wa...

In a survey of 85 people this is found that 31 want to drink milk 43 like coffee and 39 wish tea.  As well 13 want both milk and tea, 15 like milk & coffee, 20 like tea and coffee

Why is the steepness of a curve partially calculate, Can you explain why is...

Can you explain why is the steepness of a curve partially calculated by the units of measurement?

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