Tutors Answer Your Questions about Functions (FREE)
Question 1050963: Can someone please correct me if I'm wrong.
Does the relationship below represent a function? Why or why not
Manufacturer (x) Model (Y)
Ford Taurus
Chevrolet Legend
Chrysler 300
Ford Mustand
Volks Bug
Pontiac 300
I say no because of the repeating of Ford in the X value. Manufacturer(Ford) can only represent 1 y or Model for it to be a function.
Click here to see answer by stanbon(75887)  |
Question 1051143: Find the dimensions of the rectangular corral split into 2 pens of the same size producing the greatest possible enclosed area given 600 feet of fencing. (Assume that the length is greater than or equal to the width.)
Click here to see answer by ikleyn(52794)  |
Question 1051160: How would you identify the domain of 1 over cubed root x+7? or square root x-1 over 2x-3?
I want to say the cubed root is all real numbers and the square root in the numerator x cannot equal 1 or 3 but that's a guess. What's an easy way to see the domain of roots set up like this?
Click here to see answer by Theo(13342)  |
Question 1051362: A quarterback throws a football with an initial velocity of 72 ft/sec at an angle of 25°. The height of the ball can be modeled by h(t) = -16t^2 + 30.4t + 5 where h(t) is the height (in ft) and t is the time in seconds after release.
a. Determine the time at which the ball will be at its maximum height.
b. Determine the maximum height of the ball.
c. Determine the amount of time required for the ball to reach the receiver’s hands if the receiver catches the ball at a point 3 ft off the ground.
Click here to see answer by Damsung(1)  |
Question 1051362: A quarterback throws a football with an initial velocity of 72 ft/sec at an angle of 25°. The height of the ball can be modeled by h(t) = -16t^2 + 30.4t + 5 where h(t) is the height (in ft) and t is the time in seconds after release.
a. Determine the time at which the ball will be at its maximum height.
b. Determine the maximum height of the ball.
c. Determine the amount of time required for the ball to reach the receiver’s hands if the receiver catches the ball at a point 3 ft off the ground.
Click here to see answer by ikleyn(52794) |
Question 1051756: A company is considering building a
manufacturing plant. They determine the
weekly production cost at site A to be
𝐴(𝑥) = 3𝑥^2
while the production cost at site
B is 𝐵(𝑥) = 8𝑥 + 3, where x represents the
number of products, in hundreds, and A(x)
and B(x) are the production costs, in
hundreds of dollars. If the company plans
on manufacturing 200 products per week,
which site should they use? Justify your
answer.
Click here to see answer by Boreal(15235)  |
Question 1051963: Natalie runs a lemonade stand at the end of her driveway. She sells an average of 12 drinks each hour at $25 a glass. For each $2 decrease in the price, her sales increase by 3 drinks per hour. At what price per drink will she make the most money? How much will she receive?
Click here to see answer by rothauserc(4718)  |
Question 1051969: The exponent Liner offers a tour package to a group of 50 persons for a price of $300 per person but it reduces the price per person by $5 for each additional person above the 50.
a) Does reducing the price per person to have more people join the tour give the bus company more revenue?
b) What is the maximum number of people that will give the maximum revenue for the bus company?
Click here to see answer by rothauserc(4718) |
Question 1052572: The cash flow for the Timberland Co. was $1.21 in 1999 and $1.46 in 2007.
(a) Determine a linear cost function C(t) that gives the cash flow per share as a function of the year. Let t=9 represent 1999.
(b) Use your model from part (a) to predict cash flow in the year 2016.
Click here to see answer by josmiceli(19441)  |
Question 1052701: Find the domain of the rational function, then find the values of the function if possible.
T(x)=(5-x)/(x-5),T(5),T(-9)
I have answered as The domain is (-∞<5<∞) and the values of the function T(5)is 0 and undefined and the value of the function T(-9) is (-1,∞).
Is this right?
Click here to see answer by stanbon(75887) |
Question 1053012: The set {(x,y)}|x=0
The domain of the functioned defined by f(x)=√3-x is the set of non_negative real numbers
If f(x)=4-2x+x^2, then f(1-a)=a^2+3
If f(x)=√(1/2)x^2-x, then f(-2)=0
The range of the function defined by f(x)=√-x
Click here to see answer by ikleyn(52794) |
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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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