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

Finds out the center and radius of circle, Finds out the center & radius of...

Finds out the center & radius of each of the following circles & sketch the graph of the circle. a) x 2 + y 2 = 1 b) x 2 + ( y - 3) 2  = 4 Solution In all of these

Solving algebraic word problems, Solving Algebraic Word Problems: What...

Solving Algebraic Word Problems: What are the capacities of two water storage tanks in a nuclear facility if one holds 9 gallons less than three times another, and their whole

Assemble the coefficient matrix and solve the linear system, Solve discrete...

Solve discrete harmonic mapping of a given surface patch (suppose the surface is genus-0 and with one boundary) 1. Map the boundary loop onto a unit rectangle using chord-length

How many handles must be molded weekly to break even, Northwest Molded mold...

Northwest Molded molds plastic handles which cost $0.70 per handle to mold. The fixed cost to run the molding machine is $5799 per week. If the company sells the handles for $ 3.70

Index of summation - sequences and series, Index of summation - Sequences a...

Index of summation - Sequences and Series Here now, in the i is termed as the index of summation or just index for short and note that the letter we employ to represent

Algebraic models, Establish appropriate algebraic models for each of the fo...

Establish appropriate algebraic models for each of the following sets of data. You can use technology to assist. Plot them on grids and demonstrate how you have established each mo

Chain rule, Chain Rule :   If f(x) and g(x) are both differentiable func...

Chain Rule :   If f(x) and g(x) are both differentiable functions and we describe F(x) = (f. g)(x) so the derivative of F(x) is F′(x) = f ′(g(x)) g′(x).  Proof We will s

Calculate the equation, Problem1: Find the general solution on -π/2 Dy/...

Problem1: Find the general solution on -π/2 Dy/dx +(tan x)y =(sin 2 x)y 4

Which of the subsequent terms does not describe the number 9, Which of the ...

Which of the subsequent terms does NOT describe the number 9? Nine is NOT prime since it has 3 factors; 1, 3, and 9. Prime numbers have only 2 factors.

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