<< Chapter < Page Chapter >> Page >
Introduction to quadratic inequalities.

The first part of this assignment is brought to you by our unit on functions . In fact, this part is entirely recycled from that unit.

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 that shows the temperature throughout the month of March
  • On what days was the temperature exactly 0 ° size 12{0 rSup { size 8{ circ } } } {} C?
  • On what days was the temperature below freezing?
  • On what days was the temperature above freezing?
  • What is the domain of this graph?
  • During what time periods was the temperature going up?
  • During what time periods was the temperature going down?
Got questions? Get instant answers now!

The following graph represents the graph y = f ( x ) size 12{y=f \( x \) } {} .

A graph of f(x).
  • Is it a function? Why or why not?
  • What are the zeros?
  • For what x size 12{x} {} -values is it positive?
  • For what x size 12{x} {} -values is it negative?
  • Draw the graph y = f ( x ) 2 size 12{y=f \( x \) - 2} {} .
  • Draw the graph y = f ( x ) size 12{y= - f \( x \) } {}
Got questions? Get instant answers now!

OK, your memory is now officially refreshed, right? You remember how to look at a graph and see when it is zero, when it is below zero, and when it is above zero.

Now we get to the actual “quadratic inequalities” part. But the good news is, there is nothing new here! First you will graph the function (you already know how to do that). Then you will identify the region(s) where the graph is positive, or negative (you already know how to do that).

x 2 + 8x + 15 > 0 size 12{x rSup { size 8{2} } +8x+"15">0} {}

  • Draw a quick sketch of the graph by finding the zeros, and noting whether the function opens up or down.
  • Now, the inequality asks when that function is> 0 size 12{>0} {} —that is, when it is positive. Based on your graph, for what x size 12{x} {} -values is the function positive?
  • Based on your answer to part (b), choose one x size 12{x} {} -value for which the inequality should hold, and one for which it should not . Check to make sure they both do what they should.
Got questions? Get instant answers now!

A flying fish jumps from the surface of the water with an initial speed of 4 feet/sec.

  • Write the equation of motion for this fish.
  • Find the zeros of the graph, and graph it.
  • Based on your graph, answer the question: during what time interval was the fish above the water?
  • During what time interval was the fish below the water?
  • At what time(s) was the fish exactly at the level of the water?
  • What is the maximum height the fish reached in its jump?
Got questions? Get instant answers now!

Questions & Answers

I'm interested in biological psychology and cognitive psychology
Tanya Reply
what does preconceived mean
sammie Reply
physiological Psychology
Nwosu Reply
How can I develope my cognitive domain
Amanyire Reply
why is communication effective
Dakolo Reply
Communication is effective because it allows individuals to share ideas, thoughts, and information with others.
effective communication can lead to improved outcomes in various settings, including personal relationships, business environments, and educational settings. By communicating effectively, individuals can negotiate effectively, solve problems collaboratively, and work towards common goals.
it starts up serve and return practice/assessments.it helps find voice talking therapy also assessments through relaxed conversation.
miss
Every time someone flushes a toilet in the apartment building, the person begins to jumb back automatically after hearing the flush, before the water temperature changes. Identify the types of learning, if it is classical conditioning identify the NS, UCS, CS and CR. If it is operant conditioning, identify the type of consequence positive reinforcement, negative reinforcement or punishment
Wekolamo Reply
please i need answer
Wekolamo
because it helps many people around the world to understand how to interact with other people and understand them well, for example at work (job).
Manix Reply
Agreed 👍 There are many parts of our brains and behaviors, we really need to get to know. Blessings for everyone and happy Sunday!
ARC
A child is a member of community not society elucidate ?
JESSY Reply
Isn't practices worldwide, be it psychology, be it science. isn't much just a false belief of control over something the mind cannot truly comprehend?
Simon Reply
compare and contrast skinner's perspective on personality development on freud
namakula Reply
Skinner skipped the whole unconscious phenomenon and rather emphasized on classical conditioning
war
explain how nature and nurture affect the development and later the productivity of an individual.
Amesalu Reply
nature is an hereditary factor while nurture is an environmental factor which constitute an individual personality. so if an individual's parent has a deviant behavior and was also brought up in an deviant environment, observation of the behavior and the inborn trait we make the individual deviant.
Samuel
I am taking this course because I am hoping that I could somehow learn more about my chosen field of interest and due to the fact that being a PsyD really ignites my passion as an individual the more I hope to learn about developing and literally explore the complexity of my critical thinking skills
Zyryn Reply
good👍
Jonathan
and having a good philosophy of the world is like a sandwich and a peanut butter 👍
Jonathan
generally amnesi how long yrs memory loss
Kelu Reply
interpersonal relationships
Abdulfatai Reply
What would be the best educational aid(s) for gifted kids/savants?
Heidi Reply
treat them normal, if they want help then give them. that will make everyone happy
Saurabh
Got questions? Join the online conversation and get instant answers!
Jobilize.com Reply

Get Jobilize Job Search Mobile App in your pocket Now!

Get it on Google Play Download on the App Store Now




Source:  OpenStax, Advanced algebra ii: activities and homework. OpenStax CNX. Sep 15, 2009 Download for free at http://cnx.org/content/col10686/1.5
Google Play and the Google Play logo are trademarks of Google Inc.

Notification Switch

Would you like to follow the 'Advanced algebra ii: activities and homework' conversation and receive update notifications?

Ask