# Questions on Algebra: Functions, Domain, NOT graphing answered by real tutors!

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 Algebra: Functions, Domain, NOT graphing Solvers Lessons Answers archive Quiz In Depth

 Question 40752: I got part a and b of this question , need help with d & C (of course a word problem) A farmer wishes to enclose a rectangular region bordering a river with fencing, as shown in the diagram. Suppose that x represents the length of each of the three parallel pieces of fencin. She has 600 ft of fencing available. ( the diagram is a rectangle, the top part is water and the rest is fencing, there is a vertical dotted line down the center, it and both the left and right side are labeled x the bottom is just fencing) a) What is the length of the remaining piece of fencing in terms of x? ---My answer, 600-3x b) Determine a function(A) that represents the total area of the enclosed region give any restrictions for x. Since Length and Width cannot be negative i put 600-3x is greater than or equal to zero and solved that, 200 is greater than or equal to x, and x is greater than or equal to x so my solution is 0is less than or equal to x is less than or equal to 200. NOW FOR THE ONES IM LOST ON>>>>> c) What dimensions for the total enclosed region would give an area of 22,500 sqaure feet? and d) What is the maximum area that can be enclosed? ELisa Click here to see answer by Fermat(127)

 Question 40884: Make a table of values for the function rule: output= 5 input +9 Click here to see answer by rajagopalan(158)

 Question 41007: x -2 -1 0 1 2 y .25 .5 1 2 4 Given the table above, graph the function, identify the graph of the function, explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. Help I am so confused with this!!! the table doesn't show up but its 6 columns and 2 rows. Click here to see answer by stanbon(57328)

 Question 41623: Find all the real values of x for which the function: f(x) = 18x^3 - 33x^2 + 20x – 4 becomes zero. Click here to see answer by psbhowmick(529)

 Question 41774: what is the differences of function to relation? Click here to see answer by psbhowmick(529)

 Question 41773: can u give example of function applying it in real situation? Click here to see answer by fractalier(2101)

 Question 41772: can u give example of function applyingit in real situation? Click here to see answer by fractalier(2101)

 Question 41922: What is the slope of a binomial 2x+3' Click here to see answer by fractalier(2101)

 Question 42114: pg. 432, find the domain for each of the following funcions. 23. y= x +4 divided by x squared minus 4x i dont even know where to begin, or what to look for... teacher: rapalje Click here to see answer by psbhowmick(529)

 Question 42161: How do you test if something is a function on a graph? ......I remember my teacher saying something about using a pencil and lying it down on the graph, or something like that...please help!!!-I have a final TOMMMORROW!!! Click here to see answer by fractalier(2101)

 Question 42051: Please show me how to solve this Average cost of skateboards. The cost , in dollars of producing x skateboards is given by C(x) = 5.75x + 34,200 The average cost per skateboards is given by C(x)= C(x)/x = 5.75 + 34,200/x Find the average cost per skateboard, to the nearest cent of producing 5,000 and 50000 skateboards. Click here to see answer by vihits13(20)

 Question 42690: What values are excluded from the domain of the of this function => f(x)= 1/(x-1)? Thanks! Click here to see answer by rapaljer(4667)
 Question 42690: What values are excluded from the domain of the of this function => f(x)= 1/(x-1)? Thanks! Click here to see answer by Nate(3500)

 Question 42694: Can you please tell me what value is excluded from the domain of this function: h(x)= (x+3)/(x+8)? Thanks! Click here to see answer by rapaljer(4667)
 Question 42694: Can you please tell me what value is excluded from the domain of this function: h(x)= (x+3)/(x+8)? Thanks! Click here to see answer by Nate(3500)

 Question 42695: Can you please tell me what values are excluded from the domain of this function: f(x)= 3x+2 ? Thanks! Click here to see answer by Nate(3500)

 Question 42696: Hi, can you please tell me what are the excluded values of the following function: (3-5x)/5 ? Thanks! Click here to see answer by rapaljer(4667)
 Question 42696: Hi, can you please tell me what are the excluded values of the following function: (3-5x)/5 ? Thanks! Click here to see answer by Nate(3500)

 Question 42697: Hello, what value is excluded from the domain of the function: 1/2(x)^2 ? Thanks! Click here to see answer by astromathman(21)

 Question 42742: The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft. Click here to see answer by Nate(3500)

 Question 42972: A wire of length x is bent into the shape of a circle. Express the circumference C of the circle as a function of x. Click here to see answer by Nate(3500)
 Question 42972: A wire of length x is bent into the shape of a circle. Express the circumference C of the circle as a function of x. Click here to see answer by aaaaaaaa(138)

 Question 42969: The perimeter of a rectangle is 30 feet. Write the area of the rectangle as a function of the width, x. Click here to see answer by Nate(3500)
 Question 42969: The perimeter of a rectangle is 30 feet. Write the area of the rectangle as a function of the width, x. Click here to see answer by aaaaaaaa(138)

 Question 42967: Find the inverse of the function given by the ordered pairs below: (5, -2) (7, -1) (8, 4) (9, 2) (3, 0) a. (-5, 2) (-7, 1) (-8, -4) (-9, -2) (-3, 0) b. (5, -2) (7, -1) (8, 4) (9, 2) (3, 0) c. (-2, 5) (-1, 7) (4, 8) (2, 9) (0, 3) d. (2, -5) (1, -7) (-4, -8) (-2, -9) (0, -3) e. None of the others Click here to see answer by Nate(3500)

 Question 43158: Use your calculator to evaluate the function y = 0.78x+1 at the value x = 2.83. Give your answer rounded to two decimal places. a. 0.39 b. 1.50 c. 1.00 d. 5.71 e. None of the others Click here to see answer by aaaaaaaa(138)

 Question 43155: Find the degree of the following polynomial function: f(x) = 4(x + 3)(x- 2)2 a. 1 b. 2 c. 3 d. 4 e. None of the others Click here to see answer by aaaaaaaa(138)

 Question 43185: Find the range and horizontal asymptote of the exponential function y = 3^x - 1. a. Range: (-1, inf) Horizontal asymptote: y = -1 b. Range: (0, inf) Horizontal asymptote: y = 0 c. Range: [0, inf) Horizontal asymptote: y = 0 d. Range: All real numbers Horizontal asymptote: None e. None of the others Click here to see answer by Nate(3500)

 Question 43182: Find the domain and the y-intercept of the exponential function y = 2^(x-1). a. Domain: All real numbers y-intercept: (0, 1/2) b. Domain: All positive numbers y-intercept: (0, 1/2) c. Domain: All real numbers y-intercept: (1/2, 0) d. Domain: All positive numbers y-intercept: (0, 1) e. None of the others Click here to see answer by stanbon(57328)
 Question 43182: Find the domain and the y-intercept of the exponential function y = 2^(x-1). a. Domain: All real numbers y-intercept: (0, 1/2) b. Domain: All positive numbers y-intercept: (0, 1/2) c. Domain: All real numbers y-intercept: (1/2, 0) d. Domain: All positive numbers y-intercept: (0, 1) e. None of the others Click here to see answer by Nate(3500)

 Question 43181: Find the range and horizontal asymptote of the exponential function y = 3^x - 1. a. Range: [-1, inf) Horizontal asymptote: y = -1 b. Range: (0, inf) Horizontal asymptote: y = 0 c. Range: [0, inf) Horizontal asymptote: y = 0 d. Range: All real numbers Horizontal asymptote: None e. None of the others Click here to see answer by stanbon(57328)

 Question 43157: Find all real zeros of the function given below. f(x) = x3 - 8x - 3 a. rational zero at x = -3 irrational zeros at x = 5.23 and x = 0.76 b. rational zero at x = 3 irrational zeros at x = -0.38 and x = -2.62 c. rational zero at x = -3 irrational zeros at x = 2.62 and x = 0.38 d. rational zero at x = 3 irrational zeros at x = -0.76 and x = -5.23 e. None of the others Click here to see answer by stanbon(57328)

 Question 43192: List the potential rational zeros of the function below. f(x) = 6x^4 + 2x^3 - 3x^2 + 2 a. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2 b. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2, 3, -3 c. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 1, -1, 2, -2 d. 1/2, -1/2, 3/2, -3/2, 1, -1, 2, -2, 3, -3, 6, -6 e. None of the others Click here to see answer by Nate(3500)
 Question 43192: List the potential rational zeros of the function below. f(x) = 6x^4 + 2x^3 - 3x^2 + 2 a. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2 b. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2, 3, -3 c. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 1, -1, 2, -2 d. 1/2, -1/2, 3/2, -3/2, 1, -1, 2, -2, 3, -3, 6, -6 e. None of the others Click here to see answer by stanbon(57328)

 Question 43156: List the potential rational zeros of the function below. f(x) = 6x4 + 2x3 - 3x2 + 2 a. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2 b. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 2/3, -2/3, 1, -1, 2, -2, 3, -3 c. 1/6, -1/6, 1/2, -1/2, 1/3, -1/3, 1, -1, 2, -2 d. 1/2, -1/2, 3/2, -3/2, 1, -1, 2, -2, 3, -3, 6, -6 e. None of the others Click here to see answer by Nate(3500)

 Question 43202: i need help on dis problem:what is the x-intercept for the function y=-3x+7 Click here to see answer by fractalier(2101)

 Question 43200: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x. a. d(x) = sqrt(2x2 + 2x + 1) b. d(x) = 2x + 1 c. d(x) = sqrt(2x2 + 1) d. d(x) = sqrt(2) x + 1 e. None of the others Click here to see answer by fractalier(2101)

 Question 43153: Let P = (x, y) by a point on the graph of y = x + 1. Express the distance D from P to the origin as a function of x. a. d(x) = sqrt(2x2 + 2x + 1) b. d(x) = 2x + 1 c. d(x) = sqrt(2x2 + 1) d. d(x) = sqrt(2) x + 1 e. None of the others Click here to see answer by fractalier(2101)

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