The function f x x 2 6x k, where k is a constant, is defined for x Find the range of f in terms of k ...

To find the range of f we need to determine the set of all possible output v ...

The function f : x x 2 + 6x + k, where k is a constant,

Question:

The function f : x ↦ x² + 6x + k, where k is a constant, is defined for x ∈ ℝ. Find the range of f in terms of k.

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

Suppose g(U) = CU3N/2, where C is a constant and N is the number of particles (a) Show that U = 3/2Nt. (b) Show that (2/U2)N is negative. This form of g(U) actually applies to an ideal gas.
For the function f defined by f(x) = x 2 - 4x + 1, find: (a) f(2) (b) f(x) + f(2) (c) f (-x) (d) -f(x) (e) f(x + 2) (f) f(x + h) f(x) h + 0
Find a function whose derivative is (a) 2x (b) sin x (c) x2 + x + 1
The following information relates to the business of Biddulph, for the year ended 31 March 20*8: Stock at 1 April 20*7 4,560; stock at 31 March 20*8 5,050; purchases for the year 47,800; sales for...
An integral part of doing business in the dotcom culture of the late 1990s was frequenting the party circuit centered in San Francisco. Here high-tech companies threw as many as five parties a night...
If incremental scales cease to be self-financing through lack of labour market movement, what advantage is there to the employer in keeping them? LO9
Discuss the relationship between government intervention and protectionism. LO.1
A 6-lb collar can slide without friction on a vertical rod and is resting in equilibrium on a spring. It is pushed down, compressing the spring 6 in., and released. Knowing that the spring constant...
Assume that retained earnings increased by $67228 from June 30 of year 1, to June 30 of year 2. A cash dividend of $2321 was declared and paid during the year. The firm sold Capital Stock for $10,000...
You have been asked by the Payroll Manager, Linda Laporte, to create a short job aid to assist the payroll practitioners with reconciling the Revenu Qubec (RQ) account. Your organization is a monthly...
Functions f and g are defined for x by i. Find and simplify expressions for fg(x) and gf(x). ii. Hence find the value of a for which fg(a) = gf(a). iii. Find the value of b (b a) for which g(b) =...
Show that the equation gf(x) = 0 has no real solutions. f(x) = x 2 3x for x g(x) = 2x + 5 for x
Create an electronic slide presentation for your topic of interest. Ensure that it conveys your key messages effectively.
Joint Ventures are a common Mode of Entry in international business. Appreciate if in-depth elaboration provided on its advantages and disadvantages. Also briefly mention the factors which make joint...
The field excursion is intended to give students an opportunity to carry out an applied geographical research project based on observation, data recording, and analysis. Using a field site of your...
An angry coworker is expressing their needs through a rush of emotion and snide comments while another coworker is trying to interpret them to provide some help and support. You are a manager and...
You may have a general understanding of the difference between ethics and legality , but could you explain the distinction? It is not always easy to know where to draw the line between the two. Some...
Someone can be a good leader but not be a very good manager and vice-versa. Leadership is creating a vision for others to follow, establishing corporate values and ethics, and transforming the way...
Choose a firm that currently manufactures and sells its products or services only in the United States. Choose and defend a global entry strategy for the firm.
State whether each of the following will increase or decrease the power of a one-way between-subjects ANOVA. (a) The effect size increases. (b) Mean square error decreases. (c) Mean square between...
Two items are selected at random from a box that contains some tags and some labels. Selecting two tags is five times as likely as selecting two labels. Selecting one tag and one label is six times...
How many distinct three-digit numbers can be made from 1, 2, 2, 3, 4 and 5, using each at most once?
A bakery wishes to display seven of its 14 types of cake in a row in its shop window. There are six types of sponge cake, five types of cheesecake and three types of fruitcake. Find the number of...
Construction of consumer price index number for the given goods and services. Item Weight in % Base period price Current period price Food 35 150 145 Fuel 10 25 23 Cloth 20 75 65 Rent 15 30 30 Misc....
Gammaro Corporation has found that 80% of its sales in any given month are credit sales, while the remainder are cash sales of the credit sales, Gammaro Corporation has experienced the following...
Swifty Company estimates that 2022 sales will be $43,200 in quarter 1,$51,840 in quarter 2 , and $62,640 in quarter 3 , Cost of goods sold is 50% of sales. Management desires to have ending...

The function f : x x 2 + 6x + k, where k is a constant,

Question:

Step by Step Answer:

To find the range of f we need to determine the set of all possible output v...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions