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

Calculate area of a square, The area of a square is given by the formula wi...

The area of a square is given by the formula width time's height. But since the square has all the sides equal, the height is of the same measure as its width. Hence its formula is

Find out if the following series converges or diverges, Determine or find o...

Determine or find out if the following series converges or diverges.  If it converges find out its value. Solution We first require the partial sums for this series.

Congruences, Suppose m be a positive integer, then the two integer a and b ...

Suppose m be a positive integer, then the two integer a and b called congurent modulo m ' if a - b is divisible by m i.e.  a - b = m where is an positive integer. The congru

.., Ask quesLa proporción de empleados de una empresa que usan su auto para...

Ask quesLa proporción de empleados de una empresa que usan su auto para ir al trabajo es 5:16. Si hay un total de 800 empleados, diga la cantidad de autos que se espera que haya es

Separable differential equations, We are here going to begin looking at non...

We are here going to begin looking at nonlinear first order differential equations. The first type of nonlinear first order differential equations which we will see is separable di

Substitute 6 for r in the formula a = r^2 and solve for a, Find the area of...

Find the area of a circle along with a radius of 6 inches. The formula for the area of a circle is A = πr 2 . Use 3.14 for π. Substitute  6 for r in the formula A = πr 2 and solve

Linear programming, Maximize P=3x+2y Subject to ...

Maximize P=3x+2y Subject to x+y =6 x =3 x =0,y =0

Theory of equations, If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(...

If p,q,r are roots of x^3-3x^2+4x-7=0 (p+2)(q+2)(r+2)=

Math problem, integral from 0 to pi of dx/(a+b*cos(x)

integral from 0 to pi of dx/(a+b*cos(x)

Find the value of the derivative, Given y = f(x) = x 2 + 2x +3 a) Use the ...

Given y = f(x) = x 2 + 2x +3 a) Use the definitional formula given below to find the derivative of the function. b) Find the value of the derivative at x = 3.

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