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

Probabily example, A sample of students had a mean age of 35 years along w...

A sample of students had a mean age of 35 years along with a standard deviation of 5 years. A student was randomly picked from a group of 200 students. Determine the probability

Find the largest clique, Generate G(1000,1/2) and find the largest clique ...

Generate G(1000,1/2) and find the largest clique you can.  A clique is a complete sub graph, that is, a set of vertices each pair of which is connected by an edge.

What is the volume of this prism in terms of x, The area of the base of a p...

The area of the base of a prism can be expressed as x2 + 4x + 1 and the height of the prism can be expressed as x - 3. What is the volume of this prism in terms of x? Because t

How much do they save if they pay the bill inside 10 days, Oscar's Oil Comp...

Oscar's Oil Company provides customers a 5% discount if they pay their bill within 10 days. The Stevens' oil bill is $178. How much do they save if they pay the bill inside 10 days

Prove that 2b3-3abc+a2d=0, If  the  ratios  of  the  polynomial ax 3 +3bx...

If  the  ratios  of  the  polynomial ax 3 +3bx 2 +3cx+d  are  in  AP,  Prove  that  2b 3 -3abc+a 2 d=0 Ans: Let p(x) = ax 3 + 3bx 2 + 3cx + d and α , β , r are their three Z

Evaluate following limits at infinity, Evaluate following limits. ...

Evaluate following limits. Solution In this part what we have to note (using Fact 2 above) is that in the limit the exponent of the exponential does this, Henc

Definition of a function, A function is a relation for which each of the va...

A function is a relation for which each of the value from the set the first components of the ordered pairs is related with exactly one value from the set of second components of t

Determine the quotient and remainder , Let a = 5200 and b = 1320. (a) If...

Let a = 5200 and b = 1320. (a) If a is the dividend and b is the divisor, determine the quotient q and remainder r. (b) Use the Euclidean Algorithm to find gcd(a; b). (c)

Childrens errors are a natural and inevitable part, Childrens errors are a ...

Childrens errors are a natural and inevitable part of their process of learning. In the process of grasping new concepts, children apply their existing understanding, which may

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