Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

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Question 209368: Hi, I need some help when it comes to finding the domain and ranges in quadratic functions.
What I mean is that well in the problem there is a graph and there are some black circles(points, ordered pairs) and then there are some white circles(points, ordered pairs) outlined in black...do i find the domain for all of those points? (im sorry if my question doesnt make any sense but any advice is helpful)
Click here to see answer by stanbon(57250)

Question 209395: I am having a hard time grasping the concept of functions. My problem I am trying to solve is.... h(x)= 1/2x^2 - 3x + 2
Click here to see answer by Theo(3458)

Question 209447: Hi
so in this question Im supposed to graph this question
"you are connected to a device that measures the amount of air in your lungs. The amount of air in your lungs depends on time"
It seems like an easy question but i think im over thinking it and i just dont know how to graph it and I mean there are more questions that are just like these that i have but i just need a way to understand on how to graph them.
anything advice or ways to do it is extremely appreciated
Click here to see answer by Alan3354(30983)

Question 209546: A particle moving in a straight line is x cm from the point O at time seconds (t>0), where x=t^3-11t^2+24t-3.
for how long is the particle's velocity negative?
Click here to see answer by Alan3354(30983)

Question 210010:
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Question 210110: I am trying to work a problem and not sure if I am on the right track.
The problem is: f(x)= 3x/x+2 and g(x)= 2x+1/2
I am trying to figure the following f o g(2) and g o f(2)
I have tried multiple times and am still confused as to how I am to set this up. So far, I have f(g(2))= 2(2)+1/2 = 5/2 but I am not sure if this is correct. I have reviewed and read but still am confused.
Thanks - Lori

Click here to see answer by jim_thompson5910(28504)

Question 210361: f(x) = x^2 +1 and g(x) = 3x +1
f(-1)=
Click here to see answer by Earlsdon(6287)

Question 210400: I have a question regarding a problem. I need to graph x + abs(y) = 3. I have set up a table and have come up with xy points of = 0,3; 1,2; 2,1; 3,0; 4,-1; 5,-2 and 6,-3. Then graphing the following points I come up with a straight line. I am wondering if this is correct. Your feedback is much appreciated.
Lori
Click here to see answer by tutor_paul(490)

Question 210537: What is meant by Identify the property that the statement illustraes?
ex. - (-3)(1) = -3 and 1+(3+2)= 1+(2+3)
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Question 210586: what is the least positive integer that is divisible by all whole numbers 1 to 9
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Question 210792: find g of h and h of g
g(x)= 4x
h(x)= 2x-1
Click here to see answer by nerdybill(6951)

Question 210796: find g of h and h of g
g(x)= -5x
h(x)= -3x=1
Click here to see answer by Earlsdon(6287)

Question 210798: describe the relationshop between the solution set of an equation, where one side equals zero, and the value of x where the function crosses the x-axis(the x-intercepts of a graph
Click here to see answer by stanbon(57250)

Question 210900: sorry i got it off a worksheet:
f(x)=x^2 + 2x + 5
i have to write each quadratic function in vertex form, give coordinates of the vertex, and the equation of the axis of symmetry.
Click here to see answer by nerdybill(6951)

Question 211185: Rationalize the denominator:

Click here to see answer by Edwin McCravy(8882)

Question 211446: How is this problem set up and solved?
"Suppose f(x)=2x+5 and g(x)= (-1/3x)+2. Find each value."
54) f(-2) / g(f(-2)+1)
Click here to see answer by Earlsdon(6287)

Question 211534: Assume you want to add two rational expressions with 4x+2 and 2x+1 in the respective denominators. Discuss the steps you would take to properly add the expressions with these denominators.

Click here to see answer by checkley77(12569)

Question 212178: If two planes leave the same airport at 1:00pm, how many miles apart will they be at 3:00pm if one travels directly north at 150 mph and the other travels directly west at 200 mph?
Click here to see answer by Sunshine1245(9)

Question 212195: The period (the time required for one complete swing) of a simple pendulum varies directly as the square root of its length. If a pedulum 12 feet long has a period of 4 seconds, find the period of a pendulum 3 feet long.
Click here to see answer by Fombitz(13828)

Question 212215: if the average person drinks 8, (8oz) glasses of water per day, a person who drinks 12.8 oz of water after a morning exercise session has consumed what fraction of the daily average?
Click here to see answer by checkley77(12569)

Question 212411: "The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 400 feet in 5 seconds, how far does it fall in 3 seconds?"
I respectfully request if you can show all work. Thank you very much.

Click here to see answer by stanbon(57250)

Question 212410: "The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 400 feet in 5 seconds, how far does it fall in 3 seconds?"
I respectfully request if you can show all work. Thank you very much.

Click here to see answer by Alan3354(30983)

Question 212426: how to rationalize the denominator

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Question 212620: please help me Graph
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Question 213154: simplify (x-2)/(x^2+10x+24)+(4x)/(x+1)*(5)/(x+6)
Click here to see answer by cowgirl30(8)

Question 213301: Because its decimal is infinite and non-repeating, e is an irrational number. What other numbers qualify as irrational?
Click here to see answer by Alan3354(30983)

Question 213299: Which number is greater, the second or the eighth root of 4? Why?
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Question 213378: You're looking to buy a plot of land with an area of 4 square miles from a local farmer. If the plot of land has the shape of a regular polygon and one side of the plot is 2 miles long, what shape is the plot?
Click here to see answer by stanbon(57250)

Question 213408: Write your own equation for a rational function with two vertical asymptotes. At which values of x are the vertical asymptotes found? Then, write your own equation for a rational function with a singular point (or "hole"). At which value of x is this hole found?
Please explain.
Click here to see answer by rapaljer(4667)

Question 213456: A Prince picked a basketful of golden apples in the enchanted orchard. On his way home, he was stopped by a troll. The troll demanded payment of one-half of the apples plus two more. the prince gave him the apples and continued on home. The prince was then stopped by a second troll who demanded one- half of the apples plus two more, the prince did as he was told and continued on home. Stopped by a third troll he demanded the prince give him one- half of the apples plus two more. The prince did as asked and sadly continued on home only having two golden apples left. How many apples did he pick to begin with?
Click here to see answer by josmiceli(9661)

Question 214114: give the equation of the line with the following slope and y-intercept.
1. m= 4, b= -3
3. m= -2/3, b= 0
Click here to see answer by drj(1380)

Question 214114: give the equation of the line with the following slope and y-intercept.
1. m= 4, b= -3
3. m= -2/3, b= 0
Click here to see answer by rfer(12647)

Question 214258: how do i solve ?
Click here to see answer by drj(1380)

Question 214258: how do i solve ?
Click here to see answer by checkley77(12569)

Question 214421: Evaluate the following piecewise defined function at f(0), f(2), and f(3)
f(x)= 5 if x<2
2x-3 if x>=2
Click here to see answer by jim_thompson5910(28504)

Question 214447: How do you find the local minimum, local maximum, absolute minimum, absolute maximum, and increasing and decreasing in a function?
Click here to see answer by solver91311(16872)

Question 214439: please help me solve this equation y=3x+2
Click here to see answer by jojo14344(1512)

Question 214439: please help me solve this equation y=3x+2
Click here to see answer by solver91311(16872)

Question 214606: Solve the equation for x. Round to two decimal places.
Please Show your work.
1. log[4](x)=3
2. In x=-2.5
3. 2*log[3](x)+4=1
4. 10*log(2x)=30
Click here to see answer by edjones(7569)

Question 214410: (x/x^2-4)-1(x+2)=2
Click here to see answer by edjones(7569)

Question 214664: 4/x+7=2/3x
Click here to see answer by drj(1380)

Question 214660: 2/x-4/(x+1)=3
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