Determine the function notation, Mathematics

Assignment Help:

Given f (x) = - x2 + 6 x -11 determine each of the following.

(a)    f ( 2)

(b)   f ( -10)

(c)    f (t )

Solution

(a)    f ( 2) = - ( 2)2  + 6(2) -11 = -3

(b)   f ( -10) = - ( -10)2  + 6 ( -10) -11 = -100 - 60 -11 ) -171

 Be careful while squaring negative numbers!

 (c ) f (t ) = -t 2 + 6t -11

Recall that we substitute for the x's whatever is in the parenthesis on the left. Frequently this will be something other than a number.  Thus, in this case we put t's into for all the x's on the left.

 


Related Discussions:- Determine the function notation

Find out the volume of the solid -x = (y - 2)2, Find out the volume of th...

Find out the volume of the solid obtained by rotating the region bounded by x =  (y - 2) 2 and  y = x around the line y = -1. Solution : We have to first get the intersection

Circles, If the distances from origin of the centres of 3 circles x 2 +y 2 ...

If the distances from origin of the centres of 3 circles x 2 +y 2 +2alphaix= a 2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+

Equation of a straight line, In a two dimensional case, the form of t...

In a two dimensional case, the form of the linear function can be obtained if we know the co-ordinates of two points on the straight line. Suppose  x' and  x"  are two

Rounding decimals, i need help rounding decimals to the nearest 100th and t...

i need help rounding decimals to the nearest 100th and tenth

Distance and Section Formulae, find the coordinates of points of tri-sectio...

find the coordinates of points of tri-section of the line joining the points (-3,0) and (6,6).

Determine the domain and range of function, Determine the domain of each of...

Determine the domain of each of the following functions.                         f( x ) = x - 4 / x 2 - 2 x -15 Solution With this problem we have to avoid division by

Mealy and Moore Machine, Distinguish between Mealy and Moore Machine? Const...

Distinguish between Mealy and Moore Machine? Construct a Mealy machine that can output EVEN or ODD According to the total no. of 1''s encountered is even or odd.on..

Prove that one of three consecutive integers divisible by 3, Prove that one...

Prove that one of every three consecutive integers is divisible by 3. Ans: n,n+1,n+2 be three consecutive positive integers We know that n is of the form 3q, 3q +1, 3q +

Three set problems, In a class,there are 174 students in form three,86 stud...

In a class,there are 174 students in form three,86 students play table tennis,84 play football and 94 play volleyball,30 play table tennis and volleyball,34 play volleyball and foo

Example of quadratic polynomial, Factor following.                    x ...

Factor following.                    x 2 - 20 x + 100 Solution In this case we've got three terms & it's a quadratic polynomial.  Notice down as well that the constant

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