# 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 88726: determine whether each equation defines y as a function of x.... A. 2x+y=8 B. 3x^2+y=14 Click here to see answer by cincinnatus(5)

 Question 88740: Not sure how to explain this: - completely confused f(x)=[x3 x<1 [-1/2x2 +1.5 x>=1 Okay need to capture the equation from the [y=] then using graphing calculator make visual graphs for each compound function!!! - I havae no clue what this is talking about - OMG HELP!! Click here to see answer by bucky(2189)

 Question 88753: How would I solve this problem Thank you Given f(x) = 5x2 – 3x + 1, find f(–2) Click here to see answer by jim_thompson5910(28715)

 Question 88805: I need help in writing this equation. thank you Rewrite the equation 4x – 10y = 11 as a function of x. Click here to see answer by ankor@dixie-net.com(15746)

 Question 89156: i really need help with this problem can you please help me 5. Function f(x)=ax²+bx+c, and a>0, what happens to the graph of f(x) when: A. a increases? B. a decreases? C. b increases? D. b decreases? E. c increases? F. c decreases? Click here to see answer by stanbon(57967)

 Question 89314: 2. Suppose g varies inversely as w, and when w is 8, g is 37. What is g when w is 5.2? 3. The illumination from a light source varies inversely as the square of its distance from the light source. a. Explain what this means specifically. b. What is the change in illumination of a lamp you moved from 10 to 15 inches from a table? Click here to see answer by malakumar_kos@yahoo.com(315)

 Question 89379: 3. In captivity, the average life span of a grizzly bear is 9 years more than that of a tiger. The sum of the two average life spans is 41 years. Find the average life span of a tiger in captivity. a. Define the variables. b. Write the expression for the life span of a grizzly bear in terms of the life span of a tiger. c. Write an equation for the sum of their life spans in term of one variable. d. Solve the equation for the life span of a tiger. 4. George is 12 years older than Jeannie. The sum of their ages in 5 years will be 50. How old is Jeannie now? a. Define the variables. b. Write an expression for the age of George in terms of Jeannie's age. c. Write an equation for the sum of their ages in 5 years from now. d. Solve the equation for the age of Jeannie now. 5. Mandy begins bicycling west at 20mph. Liz leaves from the same point 1 hour later bicycling west at 30mph. When will she catch up with Mandy? a. Define the variables. b. Make a chart. distance=rate x time Rate Time Distance Mandy 20 t 20t Liz 30 t -1 30(t-1) c. Set the distances equal to one another (they travel the same distance) and solve the equation for t. d. What does t represent? Click here to see answer by stanbon(57967)

 Question 89316: What is the domain and range of the following rational expression? f(x)=x+3 _____ x^2-5x-66 Click here to see answer by Edwin McCravy(8999)

 Question 89505: A. Find the function of the circle's center. B. Find the radius of the cirle. C. Use your answer from part (a) and (b) to write the standard form of the cirle's equation. y | |(3,6) | * | *(5,4) |_____________x Click here to see answer by stanbon(57967)

 Question 89530: This is a question from a packet i am supposed to do over the summer. A prince packed a basket of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded the orchard. The troll demanded payment of one-half of the apples, plus two more. The prince gave him the apples and set off again. A little further on, he was stopped by a second troll guard. This troll demanded payment of one-half the apples, plus two more. The prince paid him and set off again. A third troll stopped him and demanded one-half of the apples plus two more. The prince now has two apples left. How many apples did he pick? Click here to see answer by scott8148(6628)
 Question 89530: This is a question from a packet i am supposed to do over the summer. A prince packed a basket of golden apples in the enchanted orchard. On his way home, he was stopped by a troll who guarded the orchard. The troll demanded payment of one-half of the apples, plus two more. The prince gave him the apples and set off again. A little further on, he was stopped by a second troll guard. This troll demanded payment of one-half the apples, plus two more. The prince paid him and set off again. A third troll stopped him and demanded one-half of the apples plus two more. The prince now has two apples left. How many apples did he pick? Click here to see answer by ankor@dixie-net.com(15746)

 Question 89514: What is a relation? And can you give an example? Click here to see answer by stanbon(57967)

 Question 89665: Explain what it means for a function to be one to one. Give an example. Click here to see answer by stanbon(57967)

 Question 89883: 1. In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? 2. There is a formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. You are given the following data points: Fahrenheit Celsius Freezing point of water 32 0 Boiling point of water 212 100 1. Find the linear equation that expresses temperature in degrees Fahrenheit as a function of temperature in degrees Celsius. 2. Find the linear equation that expresses temperature in degrees Celsius as a function of temperature in degrees Fahrenheit. 3. How do the graphs of these two functions differ? Do not just list the functions. You must show all of the steps you used to derive the functions. Click here to see answer by stanbon(57967)

 Question 89921: It has been a long time since I have done any algebra. A friend of mine is taking an algebra course and I could help him if I could just get started by recalling a simple equation. Once this is explained to me, the ball will start rolling. Thank you. f(x)=2x(3)^-7 find f(1)^x Click here to see answer by scott8148(6628)

 Question 90043: Please help me write and equation and figure out if the following word problem is a function: Jake works as a car salesman. To determine his weekly salary, Jake earns a base rate of \$850.00 per week plus a 3% commission of the sale price of the car. Does this real life example represent a function? Explain your answer. Click here to see answer by stanbon(57967)

 Question 90407: 7) The path of a falling object is given by the function where represents the initial velocity in ft/sec and represents the initial height. a) If a rock is thrown upward with an initial velocity of 32 feet per second from the top of a 40-foot building, write the height equation using this information. b) How high is the rock after 0.5 seconds? c) After how many seconds will the rock reach maximum height? d) What is the maximum height? Click here to see answer by stanbon(57967)

 Question 90408: 5a) Calculate the value of the discriminant of x^2+4x+4=0 B) By examining the sign of the discriminant in part a, how many x-intercepts would the graph of y=x^2+4x+4 have? Why? Click here to see answer by jim_thompson5910(28715)

 Question 90414: Hello can someone show me how to find the domain of the rational function f(x) = x^2 + 3x -40 / x^2 - 10x +24 Click here to see answer by jim_thompson5910(28715)

 Question 90684: Determine whether each relation is a function. y=the square root of x-1 Click here to see answer by vertciel(183)

 Question 90683: Determine whether each relation is a function. x^2=1+y^2 Click here to see answer by vertciel(183)

 Question 90991: For each relationships below, explain whether you think it is best described by a linear or non linear function. Q: How fast it takes you to go to work as a function of how fasr you drive Click here to see answer by stanbon(57967)

 Question 91009: For each relationships below, explain whether you think it is best described by a linear or non linear function. Question: Your height as a function of age (from 0 to 100) Click here to see answer by checkley75(3666)

 Question 91049: It seems easy to answer but just want to know if my answer I did was right. Question: Suppose you have a lemonade stand, and when you charge \$2 per cup of lemonade you sell 120 cups. But when you raise your price to \$3 you only sell 60 cups. Write an equation for the number of cups you sell as a function of the price you charge. Denote "C" for number of cups, and "P" for the price you charge. Assume the function is linear. Click here to see answer by stanbon(57967)

 Question 91344: Given f(x)= 6x + 5 and g(x) = x^2-1, find the composite function (f*g)(x) and simplify. Click here to see answer by Earlsdon(6294)

 Question 91371: The function h(x) was used to generate the following code: 21,30,45,30,60,27,18,15,63,18,60,63 Decode this message if h(x)=(f+g)(x) and f(x)= 2x+1 g(x)= x+2 I'm lost, how do I solve this? Click here to see answer by Earlsdon(6294)

 Question 91419: I HAVE ONE MORE PROBLEM, HOPE SOMEBODY CAN HELP ME! An astronaut on the moon throws a ball upward. The astronaut is 6 feet tall (Ho), and the initial velocity (Vo) of the ball is 30 feet/second. The height (h) of the ball in feet is given by the equation: h= -2.7t(squared) + Vot + Ho Note: t represents the number of seconds after the ball was thrown. a) After how many seconds is the ball 20 feet above the moon's surface? b) At what height will the ball be after 8 seconds? c) How long does it take for the ball to return to the surface of the moon? THANK YOU FOR YOUR TIME TUTORS! Click here to see answer by bucky(2189)

 Question 91442: Please help me solve this question. Find the equation of each line. Write the equation using function notation. Through (-4,8); perpendicular to 2x - 3y = 1 Thanks. Click here to see answer by checkley71(8403)

 Question 91459: Find the domain of the function f(x)= |x| / x^2 + 5x + 6 Click here to see answer by stanbon(57967)

 Question 91491: What is the composition of two funcions: basic (g or r )(4) (r or q )(4) Click here to see answer by stanbon(57967)

 Question 91433: Please help me solve this. Question; Find the indicated function values. f(x)=3x raise to the power 2 +4x-2 a). f(0) b). f(3) c). f(-5) d). f(b) e). f(5a) Click here to see answer by praseenakos@yahoo.com(507)

 Question 91887: Help me please. I need to find the domain of the function f (x) = x-3/3x+1 Click here to see answer by scott8148(6628)

 Question 91905: What is the range of function , when the domain is {-6,4,8} Click here to see answer by funmath(2925)

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