Topic: piecewise list of topics
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25 items are filed under this topic.

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	A function which is onto but not one-to-one		2017-04-16
		From Avinash: Define a function f(x):N-->N which is onto but not one-one.Where N is set of natural numbers. Answered by Penny Nom.
	A kinky curve		2016-10-06
		From tammie: Koch’s kinky curve is created by starting with a straight segment and replacing it with four segments, each 1/3 as long as the original segment. So, at the second stage the curve has three bends. At the next stage, each segment is replaced by four segments, and so on. How many bends does the curve have at the third stage? Answered by Penny Nom.
	The range of a function defined piecewise		2016-01-13
		From sarah: f(x)={x-2, x<-2        {x^2-4, -2_<x_<2        {x+2, x>2 find the range Answered by Penny Nom.
	A piecewise function		2015-04-25
		From uday: f(x)={x^2+3x+2 / x+2, x(not equal to)=-1 {4, x=-1 how to find domain and how the graph looks like Answered by Penny Nom.
	A piecewise graph		2014-05-10
		From Zoe: Lightning Energy charges residential users for each unit of electrical energy bought from them each quarter, according to the scale below: 0-500 units cost 17 cents per unit 500-1500 units cost $85 plus 10 cents for each unit in the excess of 500 1500 or more units cost $185 plus 9 cents for each unit in excess of 1500 Sketch a graph showing the charge C as a function of U for up to 2000 electricity units Answered by Penny Nom.
	The locus of a point		2014-04-04
		From srishti: A point P moves such that the difference between its distance from the origin and from the axis of x is always a constant c . what is the locus of the point? Answered by Penny Nom.
	Graphing piecewise functions		2014-03-29
		From Rayven: Hi! I'm in eighth grade, taking ninth grade algebra 1. I'm confused as to how to graph piecewise functions. I know that you have already answered a question similar to this (I did my research first) but it didn't completely help me on my homework. I have to graph piecewise functions for the specified domains, and create a table for the absolute values. I know that two bars around a number means absolute value (two bars around -2 makes it +2) , but how do I graph and chart the absolute value for the following: f(x)= |x+3 | for -5≤x≤3 And then graph and chart: (on a separate graph): f(x)= {x if x≤0 {x+1 if x <0 thank you! ~Rayven Answered by Penny Nom.
	A function with 3 asymptotes		2012-10-19
		From rimoshika: find a function that have 3 Asymptotic : y=x/y=sinx/x=-1 Answered by Penny Nom.
	Functions		2012-09-18
		From nayeem: I tried with many functions but I am not getting the exact values please help me A give an example of a function whose domain equals the set of real numbers and whose range equals the set the set {-1,0,1}? B Give an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n example of a function whose is the set of positive integers and whose range is the set of positive even integers D. Give an example of a function whose domain is the set of positive even integers and whose range is the set of positive odd integers E give an example of function whose domain is the set of integers and whose range is the set of positive integers. F. Give an example of function whose domain is the set of positive integers and whose range is the set of integers. please show me the work Please give me the trick of finding such functions Answered by Robert Dawson and Harley Weston.
	Functions		2012-09-18
		From nayeem: I tried with many functions but I am not getting the exact values please help me A give an example of a function whose domain equals the set of real numbers and whose range equals the set the set {-1,0,1}? B Give an example of a function whose domain equals (0,1)and whose range equals [0,1] C.Give n example of a function whose is the set of positive integers and whose range is the set of positive even integers D. Give an example of a function whose domain is the set of positive even integers and whose range is the set of positive odd integers E give an example of function whose domain is the set of integers and whose range is the set of positive integers. F. Give an example of function whose domain is the set of positive integers and whose range is the set of integers. please show me the work Please give me the trick of finding such functions Answered by Robert Dawson and Harley Weston.
	A taxi ride		2010-09-22
		From Jack: A taxi ride costs you $2 for the first km and 10 cents for each tenth of a km thereafter. Sketch a graph of the total cost $C(x) for a ride of xkm, for 0 < x < 2. Hint: The graph is not smooth. How will I start this question off? I tried the table of values method, and then graphed it, but it comes out as smooth, Answered by Stephen La Rocque.
	An equation for a line with a changing slope		2009-03-21
		From Ben: Is there anyway to write an equation for a line with a changing slope. e.g. A cell [hone company has a initial fee of 50$ paying for the first 100 minutes, the rate then increases to 10 cents per minute, then at 500 minutes the rate is 5 cents per minute. If so please tell how. Thanks Answered by Penny Nom.
	y = p q^t		2009-02-12
		From Conor: y= p x (q (to the power t) ) ; y= 100 when t = 2 and y= 4 when t= 0 a) find p and q b) hence find y when t=4 Answered by Stephen La Rocque.
	A piecewise function for monthly salary		2009-02-03
		From Josh: A sales rep for a drug company is paid on the following scale. His base salary is $1600 per month. He is also paid a commission of 2% of sales over $20,000. When his gross sales reach $30,000 he is then paid 4% on the amount above that until his sales reach $50,000 after which point his commission becomes 6%. His commission reaches 8% when his sales total goes over $100,000 for the month. Set up a piecewise function for the information above. Answered by Harley Weston.
	Graphing a piecewise function		2008-08-12
		From Shanti: how do you graph a step function or piecewise function such as u^2 if u is greater than or equal to -2 and less than 1 2- u if u is greater than or equal to 1 and less than 4 Answered by Penny Nom.
	A piecewise equation		2008-06-16
		From John: AT&T charges $39.99 for 450 minutes per month. It charges 45 cents per minute over the 450 minutes. How can I make a piecewise equation of this problem? Answered by Penny Nom.
	Piecewise Functions		2007-02-09
		From Steph: h(x)={-2 if x<0 {x+1 if 0< x <10 {-1/2x+16 if x>10 PLEASE HELP Answered by Penny Nom.
	Piecewise functions		2006-11-08
		From Kait: We discussed how to graph piecewise functions today and I'm very lost!! I'm sitting here staring at this problem that says: f(x){2x+1, if x <1 f(x){-x+4, if x is greater than or equal to 1. Answered by Penny Nom.
	Piecewise functions		2006-09-24
		From Claudia: hi! i was just looking at a question by someone else about piecewise functions, but i still don't get it. my problem is g(x){x+2 if x <-2} g(x){2x - 1 if x> or = -2} Answered by Penny Nom.
	Piecewise functions		2006-03-21
		From Kris: First Problem: Southeast Electric charges .09 cents per kilowatt-hour for the first 200 kWh.The company charges .11 cents per kilowatt-hour for all electrical usage in excess of 200 kWh. How many kilowatt-hours were used if a monthly electric bill was $57.06? The answer I came up with is 360, is that right? and also how do I set it up in an equation form? Second Problem: A construction worker earned $17 per hour for the first 40 hr of work and $25.50 per hour for work in excess of 40 hr. One week she earned $896.75. How much overtime did she work? I came up with 8.5 hrs over-time worked. Again I don't know how to set up the equation to come up with the answer. I need some pointers on how to figure out story problems! If you have any suggestions that would help me out I would be very grateful. Answered by Penny Nom.
	A piecewise function		2005-09-15
		From Duncan: A child is assigned to your care and she has a headache. The parent has authorized the administration of Children's Tylenol. Read a box of Children's Tylenol (or any other similar drug) and find the directions for administration. Note the child's weight and the corresponding dosage. (Be sure the drug you choose has a minimum of 4 weight intervals.) Answered by Penny Nom.
	f(x) = x-4 if x<2		2004-09-21
		From Dani: Hi, my name is Dani. I'm in tenth grade Algebra 2, and I'm learning about a lot of different kinds of functions, and I can't quite seem to understand how every part of the piecewise function works. I understand most of it, I think, but I've been looking at an example in my math book, and I'm not sure how they got the answer they did. The part I don't understand reads: "Graph f(x) = x-4 if x<2" and "Identify the domain and range." The picture in the book shows an open circle at (2,-2), with an arrow going down and to the left with the slope being one. How did they get the open circle to be at (2,-2), and why does the arrow point where it does? Answered by Penny Nom.
	Graphing a piecewise function		2003-08-24
		From Amber: How do i begin to graph a piecewise function, absolute function or step function? Answered by Penny Nom.
	A piecewise linear equation		2000-11-24
		From Jacky: There is a light bulb and it is given that the light bulb cost $0.75 and the cost of operating it is $0.0081 per hour. From the information give, I came up with the linear equation: Let c be total cost and Let h be hours used. Therefore: c = 0.0081h + 0.75 represents the total cost of the light bulb and the electricity. However, the second part of the question added the fact that the light bulb will only last for 800 hours. If the light bulb is replaced as soon as it burns out exactly after every 800 hours, how can I write an equation that represents that? Is it possible? What would it look like on the graph. Answered by Harley Weston.
	Piecewise functions.		1999-10-20
		From Jenny: How do you figure out a piecewise function by hand? e.x. ( 2x (if x is not equal to 0) f(x)=< ( 0 (if x is not equal to 0) Answered by Harley Weston.

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