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definition of parent functions
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Question:im in algebra 2 and i have a project. i have to draw a picture made of functions. i have to include all 6 parents functions. i know there is linear quadratic cubic root and square root. What are the other 2? please help!!! THANKS!!
Answers:probably the absolute value (which looks like a V) and the cube function (y = x^3)
Answers:probably the absolute value (which looks like a V) and the cube function (y = x^3)
Question:1.Linear Parent
2.Absolute value
3.Quadratic
4.Square root
5.Cubic
6.Rational/Reciprocal
Tell At least 4 characteristics about each. For example: What is the general shape? How many x intercepts does it have? Where are these equations seen? What is the domain and range? Is the function even/odd/neither? Are there any interesting facts about this parent function?
Answers:You could have just added this in to the additional details.... Linear: f(x)=x this is a straight line (ie linear) it has on x intercept (0) these equations are found by graphic a constant speed on a time/distance graph. D is all real numbers and R is all real. Function is odd (ie symmetrical from (0,0) Absolute value: f(x)= x The general shape is a V, it as one x intercept at 0 (the parent function does but it can have up to two), the are seen when you are only looking for positive y answers (ie distance)..... D is any real numbers and R is anything greater than 0, the function is even (symmetrical from the y axis) Quadratic: f(x)=x^2 General shape is a U, parent only has one x intercept but can have 2, D is any real number and R is anything greater than 0.... Even Square Root: f(x)= sqrt(x) GS Steep closer to the origin but it flattens out (relative to the x axis) as you get farther away. One x intercept at 0. Domain is anything greater than 0 and range is any positive real number. Neither odd nor even Cubic: f(x)=x^3 GS Looks like an S that has been turned sideways and stretched (http://www.google.com/imgres?imgurl=http://library.thinkquest.org/2647/media/oddxxx.gif&imgrefurl=http://library.thinkquest.org/2647/algebra/ftevenodd.htm&usg=__BxjG9VWZU593Jp7jRgtxmGIqWoc=&h=317&w=365&sz=3&hl=en&start=0&sig2=c49qej0i_HjEhrwj6KVCVg&zoom=1&tbnid=fQob5GWIX1BdNM:&tbnh=126&tbnw=144&ei=xz6ZTPK4C4P88AaW89DvDw&prev=/images%3Fq%3Df(x)%253Dx%255E3%26um%3D1%26hl%3Den%26safe%3Doff%26biw%3D1440%26bih%3D673%26tbs%3Disch:1&um=1&itbs=1&iact=hc&vpx=128&vpy=74&dur=342&hovh=126&hovw=145&tx=90&ty=95&oei=xz6ZTPK4C4P88AaW89DvDw&esq=1&page=1&ndsp=31&ved=1t:429,r:0,s:0) One x intercept at 0,0 Domain is any real number and range is any real number... Function is odd Reciprocal: f(x)=1/x GShttp://www.mathsrevision.net/gcse/functions.php No x intercepts Domain is any real number besides 0 and range is any real number besides 0.... I hope THIS answers your question....
Answers:You could have just added this in to the additional details.... Linear: f(x)=x this is a straight line (ie linear) it has on x intercept (0) these equations are found by graphic a constant speed on a time/distance graph. D is all real numbers and R is all real. Function is odd (ie symmetrical from (0,0) Absolute value: f(x)= x The general shape is a V, it as one x intercept at 0 (the parent function does but it can have up to two), the are seen when you are only looking for positive y answers (ie distance)..... D is any real numbers and R is anything greater than 0, the function is even (symmetrical from the y axis) Quadratic: f(x)=x^2 General shape is a U, parent only has one x intercept but can have 2, D is any real number and R is anything greater than 0.... Even Square Root: f(x)= sqrt(x) GS Steep closer to the origin but it flattens out (relative to the x axis) as you get farther away. One x intercept at 0. Domain is anything greater than 0 and range is any positive real number. Neither odd nor even Cubic: f(x)=x^3 GS Looks like an S that has been turned sideways and stretched (http://www.google.com/imgres?imgurl=http://library.thinkquest.org/2647/media/oddxxx.gif&imgrefurl=http://library.thinkquest.org/2647/algebra/ftevenodd.htm&usg=__BxjG9VWZU593Jp7jRgtxmGIqWoc=&h=317&w=365&sz=3&hl=en&start=0&sig2=c49qej0i_HjEhrwj6KVCVg&zoom=1&tbnid=fQob5GWIX1BdNM:&tbnh=126&tbnw=144&ei=xz6ZTPK4C4P88AaW89DvDw&prev=/images%3Fq%3Df(x)%253Dx%255E3%26um%3D1%26hl%3Den%26safe%3Doff%26biw%3D1440%26bih%3D673%26tbs%3Disch:1&um=1&itbs=1&iact=hc&vpx=128&vpy=74&dur=342&hovh=126&hovw=145&tx=90&ty=95&oei=xz6ZTPK4C4P88AaW89DvDw&esq=1&page=1&ndsp=31&ved=1t:429,r:0,s:0) One x intercept at 0,0 Domain is any real number and range is any real number... Function is odd Reciprocal: f(x)=1/x GShttp://www.mathsrevision.net/gcse/functions.php No x intercepts Domain is any real number besides 0 and range is any real number besides 0.... I hope THIS answers your question....
Question:For each type of parent function, we have to fill in certain information based on the the info they give us already.
1. Rational function. It says that they domain is all real numbers except 2, and the range is all real numbers except 1. I have to find the description of transformation, write the new equation, and graph it.
2. Square root function. The description of the transformation is reflected over the yaxis, and is shifted 3 units left. I have to find the domain and range, the new equation, and plot the graph.
3. Quadratic function. The description of the transformation is reflected over the yaxis, the graph is stretched by a factor of 4, and shifted 2 units up. I have to find the domain and range, write the new equation, and plot the graph.
Please help me and please explain the process! Thanks so much!!!
Answers:x=69
Answers:x=69
Question:could you answer some of these questions for me please?!
All of them don't have to be answer but 10 would be good!! thanks so much =)
1. Do you read with your child at home?
2. On scale of 15 how important do you think recreational reading is?
3. What do you believe your child's strengths and weaknesses are in reading?
4. What type of setting does your child read in at home?
5. Does your child have a favorite reading activity that you do with the family?
6. Do you select books that are multicultural?
7. Do you think your child is reading at grade level?
8. In what ways do you contribute to your child's reading?
9. About how long each day does your child spend with books, either looking at pictures, or just reading independently?
10. What kinds of books or stories does your child like?
11. Does your child show interest in reading at home? If so, how often?
12. Do you show enthusiasm when you read to your child? Do you use expression when you read?
13. Do you feel reading is important in your own life and how do you think that affects your child's view of reading?
14. Does your child participate in any extracurricular reading activities?
15. Do you believe the books your child reads teaches him important lessons?
16. Is there a reading program provided at your children's elementary school? What is it?
17. Do you have a collection of books at home for your child to use, or do you go to the library?
18. Does your child have a library card?
19. What are some struggles your child has with reading?
20.Have you ever read a book that incorporated gay or lesbian information to your child and if not would you?
Answers:1. yes 2. 5 super important 3. strengths getting involved with the story, using imagination, eager to continue after about 15 minutes of reading weakness not knowing certain words (definition, pronunciation) 4. quiet setting, usually in their room or on the couch 5. we have a deal that if the book is a movie, they can watch it when they finish reading it 6. yes 7. yes 8. i encourage reading in all aspects; magazines, cd booklets, newspapers, etc. 9. at least an hour 10. mythology, comedy, stories about other kids, cookbooks 11. sometimes, they will voluntarily pick up the guinness book of world records or the ripley's believe it or not book 12. double yes 13. it is important in my life and i hope it will reflect 14. yes 15. some of them do 16. yes, cannot recall the name 17. yes i have a collection of books 18. yes, at school and for the city's public libraries 19. at times just feeling motivated 20. no i haven't and i'm not sure i would YET
Answers:1. yes 2. 5 super important 3. strengths getting involved with the story, using imagination, eager to continue after about 15 minutes of reading weakness not knowing certain words (definition, pronunciation) 4. quiet setting, usually in their room or on the couch 5. we have a deal that if the book is a movie, they can watch it when they finish reading it 6. yes 7. yes 8. i encourage reading in all aspects; magazines, cd booklets, newspapers, etc. 9. at least an hour 10. mythology, comedy, stories about other kids, cookbooks 11. sometimes, they will voluntarily pick up the guinness book of world records or the ripley's believe it or not book 12. double yes 13. it is important in my life and i hope it will reflect 14. yes 15. some of them do 16. yes, cannot recall the name 17. yes i have a collection of books 18. yes, at school and for the city's public libraries 19. at times just feeling motivated 20. no i haven't and i'm not sure i would YET
From Youtube
Parent Functions :This lesson discusses some of the basic characteristics of linear, quadratic, square root, absolute value and reciprocal functions. This was a lesson created for the MCR3U Functions course in the province of Ontario, Canada.
(6 of 7) Graphing Parent Functions: Exponential Function :Here we sketch the exponential parent function: y=2^x (two raised to the x power). Actually, "2" could be any number, but we're graphing "2 to the x" for simplicity. This seven video series shows sketches of the ten most common parent functions. Parent functions can be thought of as basic "building block" functions which other more complicated functions can be constructed, frequently by multiplying (squash or stretch) or by adding/subtracting (translating along the coordinate plane), or by multiplying by a negative (which flips the graph upside down). Knowing what the basic parent functions look like can help when working with more complicated functions. (Recorded on a laptop's webcam, thus the soft focus.)