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This module provides practice problems designed to develop some concepts related to graphing.

The following graph shows the temperature throughout the month of March. Actually, I just made this graph up—the numbers do not actually reflect the temperature throughout the month of March. We’re just pretending, OK?

A graph shows the temperature throughout the month of March

Give a weather report for the month of March, in words.

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On what days was the temperature exactly 0°C?

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On what days was the temperature below freezing?

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On what days was the temperature above freezing?

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What is the domain of this graph?

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During what time periods was the temperature going up?

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During what time periods was the temperature going down?

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Mary started a company selling French Fries over the Internet. For the first 3 days, while she worked on the technology, she lost $100 per day. Then she opened for business. People went wild over her French Fries! She made $200 in one day, $300 the day after that, and $400 the day after that. The following day she was sued by an angry customer who discovered that Mary had been using genetically engineered potatoes. She lost $500 in the lawsuit that day, and closed up her business. Draw a graph showing Mary’s profits as a function of days.

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Fill in the following table. Then draw graphs of the functions y = x 2 size 12{y=x rSup { size 8{2} } } {} , y = x 2 + 2 size 12{y=x rSup { size 8{2} } +2} {} , y = x 2 1 size 12{y=x rSup { size 8{2} } - 1} {} , y = ( x + 3 ) 2 size 12{y= \( x+3 \) rSup { size 8{2} } } {} , y = 2x 2 size 12{y=2x rSup { size 8{2} } } {} , and y = x 2 size 12{y= - x rSup { size 8{2} } } {} .

x x 2 size 12{x rSup { size 8{2} } } {} x 2 + 2 size 12{x rSup { size 8{2} } +2} {} x 2 1 size 12{x rSup { size 8{2} } - 1} {} ( x + 3 ) 2 size 12{ \( x+3 \) rSup { size 8{2} } } {} 2x 2 size 12{2x rSup { size 8{2} } } {} x 2 size 12{ - x rSup { size 8{2} } } {}
-3
-2
-1
0
1
2
3

Now describe in words what happened…

  • How did adding 2 to the function change the graph?
  • How did subtracting 1 from the function change the graph?
  • How did adding three to x change the graph?
  • How did doubling the function change the graph?
  • How did multiplying the graph by –1 change the graph?
  • By looking at your graphs, estimate the point of intersection of the graphs y = x 2 size 12{y=x rSup { size 8{2} } } {} and y = ( x + 3 ) 2 size 12{y= \( x+3 \) rSup { size 8{2} } } {} . What does this point represent?
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Questions & Answers

what are the products of Nano chemistry?
Maira Reply
There are lots of products of nano chemistry... Like nano coatings.....carbon fiber.. And lots of others..
learn
Even nanotechnology is pretty much all about chemistry... Its the chemistry on quantum or atomic level
learn
Google
da
no nanotechnology is also a part of physics and maths it requires angle formulas and some pressure regarding concepts
Bhagvanji
Preparation and Applications of Nanomaterial for Drug Delivery
Hafiz Reply
revolt
da
Application of nanotechnology in medicine
what is variations in raman spectra for nanomaterials
Jyoti Reply
I only see partial conversation and what's the question here!
Crow Reply
what about nanotechnology for water purification
RAW Reply
please someone correct me if I'm wrong but I think one can use nanoparticles, specially silver nanoparticles for water treatment.
Damian
yes that's correct
Professor
I think
Professor
what is the stm
Brian Reply
is there industrial application of fullrenes. What is the method to prepare fullrene on large scale.?
Rafiq
industrial application...? mmm I think on the medical side as drug carrier, but you should go deeper on your research, I may be wrong
Damian
How we are making nano material?
LITNING Reply
what is a peer
LITNING Reply
What is meant by 'nano scale'?
LITNING Reply
What is STMs full form?
LITNING
scanning tunneling microscope
Sahil
how nano science is used for hydrophobicity
Santosh
Do u think that Graphene and Fullrene fiber can be used to make Air Plane body structure the lightest and strongest. Rafiq
Rafiq
what is differents between GO and RGO?
Mahi
what is simplest way to understand the applications of nano robots used to detect the cancer affected cell of human body.? How this robot is carried to required site of body cell.? what will be the carrier material and how can be detected that correct delivery of drug is done Rafiq
Rafiq
if virus is killing to make ARTIFICIAL DNA OF GRAPHENE FOR KILLED THE VIRUS .THIS IS OUR ASSUMPTION
Anam
analytical skills graphene is prepared to kill any type viruses .
Anam
Any one who tell me about Preparation and application of Nanomaterial for drug Delivery
Hafiz
what is Nano technology ?
Bob Reply
write examples of Nano molecule?
Bob
The nanotechnology is as new science, to scale nanometric
brayan
nanotechnology is the study, desing, synthesis, manipulation and application of materials and functional systems through control of matter at nanoscale
Damian
Is there any normative that regulates the use of silver nanoparticles?
Damian Reply
what king of growth are you checking .?
Renato
What fields keep nano created devices from performing or assimulating ? Magnetic fields ? Are do they assimilate ?
Stoney Reply
why we need to study biomolecules, molecular biology in nanotechnology?
Adin Reply
?
Kyle
yes I'm doing my masters in nanotechnology, we are being studying all these domains as well..
Adin
why?
Adin
what school?
Kyle
biomolecules are e building blocks of every organics and inorganic materials.
Joe
anyone know any internet site where one can find nanotechnology papers?
Damian Reply
research.net
kanaga
sciencedirect big data base
Ernesto
how did you get the value of 2000N.What calculations are needed to arrive at it
Smarajit Reply
Privacy Information Security Software Version 1.1a
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Source:  OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
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