a Find the set of values of x for which f(x) 7 f(x) x 2 2x 4 for x b Express x 2 2x 4 in the form (x a) 2 b c Write down the range of f ...

a To find the set of values of x for which fx 7 we solve the ...

a. Find the set of values of x for which f(x) 7. f(x) = x 2

Question:

a. Find the set of values of x for which f(x) ≥ 7.

f(x) = x² − 2x + 4 for x ∈ ℝ

b. Express x² − 2x + 4 in the form (x − a)² + b.

c. Write down the range of f .

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 09, 2023 05:43 AM

See More Questions

Find the set of values of x for which x 2 < 6 - 5x.
Find the set of values of x for which x(x + 2) < x.
a. Find the set of values of x for which 4x 2 + 19x - 5 0. b. i. Express x 2 + 8x - 9 in the form (x + a) 2 + b. where a and b are integers. ii. Use your answer to part i to find the greatest value...
A flat and infinitely large sheet with uniform charge density moves with constant speed in a direction parallel to its surface. Confirm the differential form of Poyntings theorem at every point not...
The data for shell thickness and concentration of PCBs for 60 Anacapa pelican eggs from Exercise 4.70 are on the WeissStats CD. In exercise Polychlorinated biphenyls (PCBs), industrial pollutants,...
In view of the assertive, take-it-or-leave-it approach of some managements at the end of the twentieth and the beginning of the twenty-first centuries, is Boulware just a historical footnote, or is...
Identify and assess the main investment opportunities in Qatar for overseas investors? LO.1
How does an information vision differ from an IT architecture?
What is the present value of the following deposits at 1.5% rate of interest? Assume these deposits are made at the end of the stated years. Year 1 2 3 4 5 $10 $100,000 $0 $500 $1,000 A. $98,000 B....
An 8 simple curve connecting two tangent that intersect at an angle of 88 is to be replaced by a symmetrical three centered compound curve at the center having 6 end curves and a 10 curve at the...
A line has equation 2x + y = 20 and a curve has equation where a is a constant. Find the set of values of a for which the line does not intersect the curve. 18 x-3 y = a +-
Functions P, Q, R and S are composed in some way to make a new function, f(x). For each of the following, write f(x) in terms of the functions P, Q, R and/or S, and state the domain and range for...
Which of these is correct? (a) A A = A 2 (b) A B + B A = 0 (c) A B C = B C A (d) a x a y = a z (e) a k = a x a y , where ak is a unit vector
Pop Company holds 70% of Son Company stock. Pop has sold inventory to Son Company as follows: Percent of Sold Sales Inventory Cost to Price to Held at Year Pop Son Year end 2018 $203,000 $355,000 30%...
A B C D E F G H J K L 1 Cost Mortgage Payments 2 Cost Description The upscale hotel's building was acquired for $10 million, leading to monthly mortgage payments of $60,000. Behavior Dollar Amount...
What celebrity attributes make for effective celebrity product endorsements? Celebrity testimonials are advertising messages delivered by famous people who say or imply that they use the...
Initial investment of $100,000 in a new medical equipment. Interest Rate 10% (Borrowed money from a bank). Item Year 0 Year 1 Year 2 Year 3 Year 4 Year 5 Investment 100,000 Expected Cash Flow 20,000...
How do I draw a top view of this sketch and I was also wondering how to draw an oblique cabinet projection. + + 1 1 ' '
1. How can Uber and Lyft apply the Service Gaps Model to identify potential service failures? Using the building blocks of service quality, how can Uber and Lyft ensure high service quality? 2. If...
Suppose that a company has 10.000 outstanding shares in the beginning of the year. On April 1st, the company increases its shares by 6.000. On July 1st, the company increases its shares again, but...
The mass of waste produced by a school during its three 13-week terms is given in tonnes, correct to 2 decimal places, in the following table. a. Calculate estimates of the mean and standard...
A company manufactures right-angled brackets for use in the construction industry. A sample of brackets are measured, and the number of degrees by which their angles deviate from a right angle are...
120 people were asked to read an article in a newspaper. The times taken, to the nearest second, by the people to read the article are summarised in the following table. Calculate estimates of the...
Domino is 4 0 years old and is married out of community of property with the exclusion of the accrual system to Dolly ( 3 5 ) . They have one child, Domonique, who is 1 1 years old. Domino resigned...
YOU ARE CREATING AN INVESTMENT POLICY STATEMENT FOR JANE DOE General: 60 years old, 3 grown children that are living on their own and supporting themselves. She is in a very low tax rate so we don't...
firm purchased a new piece of equipment with an estimated useful life of eight years. The cost of the equipment was $65,000. The salvage value was estimated to be $10,000 at the end of year 8. Using...

a. Find the set of values of x for which f(x) 7. f(x) = x 2

Question:

Step by Step Answer:

a To find the set of values of x for which fx 7 we solve the ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions