100% satisfaction guarantee Immediately available after payment Both online and in PDF No strings attached
logo-home
Previously searched by you
Previously searched by you
logo
Math 172 Question and answers verified to pass 2024/2025 £10.66   Add to cart
Quickly navigate to
Preview
  2.  
  3. MATH 172
  4.  
  5. MATH 172

Exam (elaborations)

Math 172 Question and answers verified to pass 2024/2025
 6 views  0 purchase
  • Module
  • MATH 172
  • Institution
  • MATH 172

Math 172 Question and answers verified to pass 2024/2025 Math 172 with exponential function, when is there exponential growth vs. decay? - correct answer B>1 has exponential growth 0<b<1 has exponential decay List the roles of exponents - correct answer zero rule Product ru...

[Show more]

Preview 2 out of 6  pages

Document information

  • October 15, 2024
  • 6
  • 2024/2025
  • Exam (elaborations)
  • Questions & answers

Subjects

  • math 172
  • math 172 question and answers verified to pass

Written for

  • MATH 172
  • MATH 172

Seller

avatar-seller
Academia199

Reviews received

Content preview

Math 172
with exponential function, when is there exponential growth vs. decay? -
correct answer ✔B>1 has exponential growth
0<b<1 has exponential decay


List the roles of exponents - correct answer ✔zero rule
Product rule
Quotient rule
negative rule
power to power rule
roots rule


see Jan 29 notes for definition of rules


Exponential function - correct answer ✔if B is any real number such that b>0
and b≠1, then the the exponential function w/ base b is f(x)=b^x


What is the value e and where does it come from? - correct answer
✔e=2.718


It is the base of ln, which is where lim h ---> 0 is exactly zero.


See Jan 29 notes


What is the difference between e^(2x) and e^x^2? - correct answer ✔e^(2x)=
((e^x)*(e^x))=(ex)^2

, e^2^x= (e)^(x^2)


See Jan 30 notes


What are the three ways of notation? How would you write the set of numbers
1, 2, 3, 4 in each of the notation forms? - correct answer ✔Roster: simply list
elements of a set with brackets: {1, 2, 3, 4}


Set Builder: use the ε and lists the endpoints of a series of numbers A={n ε IN:
1≤ n≤ 4}


Interval: puts endpoints of a set, keeping in mind of brackets and parenthesis
[1,4]


What is ε - correct answer ✔ε means "is an element of. It is used especially
in set builder notation for a series of numbers


Inverse Function - correct answer ✔If f=D-->R and there exists G such that
g=R--->D such that f(g(x))=x and G(f(x))=x, then g is the inverse function of f


See Jan 31 notes


How is the inverse of F denoted? - correct answer ✔as F^(-1)


What makes a Function? How can we text it graphically? - correct answer
✔When all Domain values have one and only one range value (every x has 1
y). Test it by vertical line test

The benefits of buying summaries with Stuvia:

Guaranteed quality through customer reviews

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

Quick and easy check-out

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

Focus on what matters

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 Academia199. Stuvia facilitates payment to the seller.

Will I be stuck with a subscription?

No, you only buy these notes for £10.66. You're not tied to anything after your purchase.

Can Stuvia be trusted?

4.6 stars on Google & Trustpilot (+1000 reviews)

67866 documents were sold in the last 30 days

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

Start selling
£10.66
  • (0)
  Add to cart