Summary

Summary Topic III: Real Valued Function

15 views 1 purchase

Course
CSC1031 (CSC1031)

Institution
Newcastle University (NCL)

Covers the following sections: Domain, range, sketching • Manipulating functions • Some common functions: • Powers, polynomials, modulus, logarithms • Exponential growth and decay • Equations: • Simple, quadratic, simultaneous • Differentiation: • Rate of change, finding ma...

[Show more]

Preview 2 out of 5 pages

View example

Uploaded on February 28, 2024
Number of pages 5
Written in 2023/2024
Type Summary

fundamental of computing
csc1031
computer science
newcastle university

Institution
Newcastle University (NCL)
Education Unknown
Course
CSC1031 (CSC1031)

CA$7.50

Also available in package deal from CA$19.22

Added

Add to cart

Add to wishlist

100% satisfaction guarantee
Immediately available after payment
Both online and in PDF
No strings attached

Also available in package deal (1)

CSC1031- Fundamentals of Computing

CA$ 20.29 CA$ 19.22 3 items

1. Summary - Topic 1: graphs and trees - fundamental of computing (csc1031)
2. Summary - Topic ii: revision for basic mathematics
3. Summary - Topic iii: real valued function
Show more

CSC1031 – Semester 2 Examina3on

Fundamentals Of Computing

Topic III : Real Valued Function

Function – Domain and Range

- Function is a named expression dependent on one or more variables. The variable is also called the

argument of the function.

- The domain of a function f(x) is the set of values for

which it is defined.

- The range or co-domain of a function is the set of all

values that the function can take.

Sketching a function

To sketch a function, we use the x and y axes to represent the domain and range.

Absolute or modulus function

Logarithm

ax = c where a and c are constants

ab =c «b=logac

4

, CSC1031 – Semester 2 Examina3on

Logarithm properties

- loga(x*y) = logax + logay – reducing multiplication to addition

- loga(x/y) = logax – logay – reducing division to subtraction

- loga(xn) = n logax (n can be negative and/or non-integer)

- logax = logbx / logba – can easily change the base

- loga1 = 0

- logaan = n, in particular logaa = 1

logab
- a = b – this is the definition of logarithm

For any natural number n≥1, the number of decimal digits ||n||10 in n is given by:

||n||10 = élog10nù + 1,

where éyù denotes the whole part of y

• E.g. for 1£n<10, ||n||10=1; for 10£n<100, ||n||10=2; etc.

• Thus élog10nù = ||n||10–1, i.e. ||n||10–1 £ log10n < ||n||10

• Generally, the number of digits ||n||k in the base-k representation of n is élogknù + 1, and thus

||n||k–1 £ logkn < ||n||k

5

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.

Quick and easy check-out

You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.

Focus on what matters

Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!

Frequently asked questions

What do I get when I buy this document?

You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.

Satisfaction guarantee: how does it work?

Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.

Who am I buying these notes from?

Stuvia is a marketplace, so you are not buying this document from us, but from seller giovanniconstantina04. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for CA$7.50. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

77254 documents were sold in the last 30 days

Founded in 2010, the go-to place to buy study notes for 14 years now

Start selling