Tutors Answer Your Questions about Functions (FREE)
Question 807888: Can you help me please to solve this question:find the rational function F:ℝ→ℝ with range f:(ℝ)= [0,1] .(thus f(x)=p(x)/Qx) for all xεℝ for suitable polynomial P and Q where Q has no real root). you should justify your choice of f clearly. [10 marks]. I’m really stuck, i dont even know how to start it. it would be so nice if you can help. thank you
Click here to see answer by KMST(5328)  |
Question 808867: quadratic functions of the form f(x)= a(x-h)2+k
a) y= -2/3(x-3)2
b) y=5(x+4)2
i) State the value of a and h in each of the given quadratic functions
ii) Describe the role of each variable in the equation. Justify your answer.
iii) State the vertex and concavity of the parabola represented by the equation.
Click here to see answer by solver91311(24713)  |
Question 809254: My daughter came home from school with math homework and we need help because honestly i don't get it either. so it says Each set of ordered pairs represents a function.Write a rule that represents the function. The ordered pairs are (0,0) (1,0.5) (2,2) (3,4.5) (4,8). Please help because it is due on Friday.
Click here to see answer by TimothyLamb(4379)  |
Question 809797: Find the domain (with the two restrictions)of the function:
y=(sqr(x+7))/(x-8)
(i.e. square root of x + 7 on top the fraction bar with x - 8 on bottom)
I got [-7, 8)U(8, infinity) but home work site says it's incorrect. Puzzled!
Click here to see answer by josmiceli(19441)  |
Question 810510: The directions say: "For each function, the vertex of the function's graph is given. Find the unknown coefficients.
y=x^2+bx+c ; (-4,-7)
I've done all of my other problems, but I do not know how to start solving it or how to solve it at all. Please help. It would be greatly appreciated. :)
Click here to see answer by oscargut(2103)  |
Question 811973: hey just a simple question on relations and functions.im working out of a text book a and worksheet. my papers instructions are:
To evaluate each function for the given value of x, and write the input x and the output f(x) as an ordered pair.
for example. F(x) = -3x+2 for x = 3
F(x) = 1/2 x -1 for x = -2
the lesson in the book is just didnt click for me. here is the lesson in the book:
The Area of a square tile is a function of the length of a side of the square. write a function rule for the area of a square. evaluate the function for a square tile with the side legth of 3.5in
Relate: area of a square IS (side length)^2
Define: Let[s] = the length of one side of the square tile, then A(s)= the area of the square tile
Write: A(s) = s^2
A(3.5) = (3.5)2 Substitute 3.5 for S
= 12.25 Simplify
The area of a square tile with side length 3.5 in is 12.25 in ^2
______________________
that lesson really didnt explain to me how to complete the 2 questions at the top of the page. i know what a function is, i know what and how to find the domain and range. i know how to put it on a graph. and i do realize that F(x) means F of x, not F times x.
maybe you can help explain how to do a the two problems at the top and i can start to finish my paper. Thank you!
Click here to see answer by richwmiller(17219)  |
Question 813683: State the number of real zeros. Approximate each real zero to the nearest tenth. Approximate the relative minima and relative maxima to the nearest tenth. : f(x)= -x^3+x^2-1
What I tried:
I successfully graphed the function.According to Descartes' Rule of Signs, there are 2 or zero positive real zeros and 1 negative real zero. Referring to the Intermediate Value Theorem, I decided that there was a real zero between [-1,1]. I did this:
f(-1)=1 -> f(-.9)=.539 -> f(-.8)=.152 -> f(-.7)=-.167.
Since there was a change in signs between -.8 and -.7, I got that the negative real zero is -.8.
My Question:
How do I find the positive real zeros, if there are any and how do you find the relative minima and relative maxima?
Click here to see answer by richwmiller(17219)  |
Question 814341: Table shows the number of movies that made at least $20 million for different years.
Year: 1990 1995 1998 1999 2000
Movies 30 36 37 42 49
Write an equation that models the number of movies as function of the number of years since 1990.
Click here to see answer by TimothyLamb(4379)  |
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660
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