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

Test of hypothesis about the population mean, Test of hypothesis about the ...

Test of hypothesis about the population mean When the population standard deviation (S) is identified then the t statistic is defined as             t = ¦(x¯ - µ)/ S x¯ ¦

If there are 75 students in the play how many are boys, 64% of the students...

64% of the students within the school play are boys. If there are 75 students in the play, how many are boys? To ?nd out 64% of 75, multiply 75 by the decimal equivalent of 64%

Statistics, the median of a continuous frequency distribution is 21.if each...

the median of a continuous frequency distribution is 21.if each observation is increased by 5. find the new median

Probability, what is a sample space diagram

what is a sample space diagram

Patrice has worked a certain how many hours has she worked, Patrice has wor...

Patrice has worked a certain amount of hours so far this week. Tomorrow she will work four more hours to finish out the week along with a total of 10 hours. How many hours has she

Calculate percentage of increasing customer, Coastal Cable had 1,440,000 cu...

Coastal Cable had 1,440,000 customers within January of 2002. During the first half of 2002 the company launched a large advertising campaign. Through the end of 2002 they had 1,80

Remainder when 7^103 is divided by 24 , Find the remainder when 7^103 is di...

Find the remainder when 7^103 is divided by 24 Solution) we know by the concept of mod that.....   49 is congruent to 1 mod 24(means if 1 is subtracted fom 49 u get 48 which is

How is probability distribution of random variable construct, How is the pr...

How is the probability distribution of a random variable constructed? Usually, the past behavior of the variable is studied and the frequency distribution of the past data is form

Number system, NATURAL NUMBERS The numbers 1, 2, 3, 4.... Are called as...

NATURAL NUMBERS The numbers 1, 2, 3, 4.... Are called as natural numbers, their set is shown by N. Hence N = {1, 2, 3, 4, 5....} WHOLE NUMBERS The numbers 0, 1, 2, 3, 4

Natural numbers, To begin with we have counting numbers. These ...

To begin with we have counting numbers. These numbers are also known as natural numbers and are denoted by a symbol 'N'. These numbers are obtai

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