Question: The function g: x x + 10x + p is defined for the domain x R, where p is a constant. a) Express

The function g: x ↦ x² + 10x + p is defined for the domain x ∈ R, where p is a constant.

a) Express g(x) in the form (x + a)2 + b + p, where a and b are constants.

b) State the range of g in terms of p.

Step by Step Solution

★★★★★

3.28 Rating (157 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

ANSWER a To express gx in the form x a b p we can complete the square as follows gx x 10x ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Complete Pure Mathematics Questions!

Q:

Managing Scope Changes Case Study Scope changes on a project can occur regardless of how well the project is planned or executed. Scope changes can be the result of something that was omitted during...

Q:

KYC's stock price can go up by 15 percent every year, or down by 10 percent. Both outcomes are equally likely. The risk free rate is 5 percent, and the current stock price of KYC is 100. (a) Price a...

Q:

The function f : x 2 4x + k is defined for the domain x p , where k and p are constants. i. Express f(x) in the form (x + a) 2 + b + k, where a and b are constants. ii. State the range of f in...

Q:

The function f: x 1 + cos 2x is defined for the domain 0 x /2. i) Solve the equation 2f(x) = 3. ii) Sketch the graph of y = f(x). iii) State the range of the function f. iv) State the domain and...

Q:

Hello tutors please help with the following question: note* this isn't for an assignment but rather for my own comprehension and understanding! Thank you. State whether each of the following...

Q:

Hello tutors please help with the following question: note* this isn't for an assignment but rather for my own comprehension and understanding! Thank you. State whether each of the following...

Q:

Need help on Algebra..any help is appreciated. Answer key is attached There are 30 problems. Problems #112 are Multiple Choice. Problems #13~2l are Short Answer. (Work not required to be shown)...

Q:

alexandercollege.ca/courses/3525/assignments/75909 nter Onupter Due Sunday by 23:59 Points 54 Submitting an external tool Available 4 Apr at 0:00 - 9 Apr at 23:59 6 days ements Chapter 4 Test (a.k.a....

Q:

Math 400 Assignment #3 -- Numerical Integration and Differentiation 1. For the function g x e x 2 2 Due: 6am April 09, 2016 use the centered difference formula with h 101 , 102 , , 1020 to create a...

Q:

3:55 AM Tue S ... webassign.net 0 A quadratic function f is given. f(x) =-4x2 - 20x +5 (a) Express fin standard form. f ( x ) = (b) Find the vertex and x- and y-intercepts of f. (If an answer does...

Q:

Janson Pharmaceuticals incurred the following costs in 2011 related to a new cancer drug: The development costs were incurred after technological and commercial feasibility was established and after...

Q:

List the three concepts central to Taguchis approach.

Q:

Why are "expectation losses" not always an appropriate measure of loss? Use Amann Aviation [12.80] as an example.

Q:

=+Differential Analysis and Product Pricing 467 The direct labor rate is $32 per hour.

Q:

A sample of students from our statistics classes reported their GPAs, indicated their genders, and stated whether they were in the universitys Greek system (i.e., in a fraternity or sorority)....

Q:

The data below were from the same 25-yearold participants described in How It Works 12.1, but now the scores represent the oldest age that would be acceptable in a dating partner. 25-year-old women...

Q:

Heyman and Ariely (2004) were interested in whether effort and willingness to help were affected by the form and amount of payment offered in return for effort. They predicted that when money was...

Q:

1) During 2008, land was purchased for $11, 000, a building was purchased for $175,000 and equipment was purchased for $233,400. 2) Depreciation eexpense for 2008 was $35,500. 3) The long term note...

Q:

Jeremy earned $100,000 in salary and $6,000 in interest income during the year. Jeremy has two qualifying dependent children who live with him. He qualifies to file as head of household and has...

Q:

The Crandall Corporation currently has 100,000 shares outstanding that are selling at $50 per share. It needs to raise $900,000. Net income after taxes is $500,000. Its vice-president of finance and...