Tutors Answer Your Questions about Functions (FREE)
Question 161526: given the algebraic relation x=y^2+1, determine the domain, range, and whether or not it is a funtion. on my graphing calculator it shows a line that starts at (-.851,.386)to infinity. it shows it as though if you did a vertical line test, it would be a function. I'm confused because if I insert a pos # into y or a - # into y, squaring it will give you the same number. you can't have 2 different y's giving the same x or it is not a function, right?
Click here to see answer by Edwin McCravy(20054)   |
Question 161843: A section of the Uncanoonuc Mountains, called the West Side Trail, is located in New Hampshire. The trail has a vertical change of about 268 feet vertically for every 1000 feet it moves along Horizontally. What is the slope of the trail?
slope=rate of change= (change in y)/ (change in x)= (vertical change)/(horizontal change)
slope= 268 feet/1000ft=268/1000=67/250
Click here to see answer by checkley77(12844) |
Question 161843: A section of the Uncanoonuc Mountains, called the West Side Trail, is located in New Hampshire. The trail has a vertical change of about 268 feet vertically for every 1000 feet it moves along Horizontally. What is the slope of the trail?
slope=rate of change= (change in y)/ (change in x)= (vertical change)/(horizontal change)
slope= 268 feet/1000ft=268/1000=67/250
Click here to see answer by eperette(173) |
Question 161853: This one is giving me alot of trouble. The question is: Given f(x)=3x+5, find f(a-1). Please help explain this to me!!
Notice that x is an independent variable which can be replaced with any number; numbers; or other variables...in this case we want to substitute it with (a-1)...
f(x)=3x+5 then
f(a-1)=3(a-1)+5....any time you substitute x with anything you must place that in parenthesis like I did to show the substitution
so
f(a-1)=3a-3+5 (by distributing 3 to (a-1), i.e. multiplying 3 with variables inside the parenthesis to get rid of parenthesis), then
f(a-1)=3a+2 by simplifying (adding like terms together)
Click here to see answer by eperette(173) |
Question 161853: This one is giving me alot of trouble. The question is: Given f(x)=3x+5, find f(a-1). Please help explain this to me!!
Notice that x is an independent variable which can be replaced with any number; numbers; or other variables...in this case we want to substitute it with (a-1)...
f(x)=3x+5 then
f(a-1)=3(a-1)+5....any time you substitute x with anything you must place that in parenthesis like I did to show the substitution
so
f(a-1)=3a-3+5 (by distributing 3 to (a-1), i.e. multiplying 3 with variables inside the parenthesis to get rid of parenthesis), then
f(a-1)=3a+2 by simplifying (adding like terms together)
Click here to see answer by Alan3354(69443)  |
Question 161826: A manufacturer finds that for the first 300 units of its product that are produced and sold, the profit is 60 dollars per unit. The profit on each of the units beyond 300 is decreased by $.10 times the number of additional units sold. What level of output will maxamize profit?
Click here to see answer by Alan3354(69443) |
Question 161826: A manufacturer finds that for the first 300 units of its product that are produced and sold, the profit is 60 dollars per unit. The profit on each of the units beyond 300 is decreased by $.10 times the number of additional units sold. What level of output will maxamize profit?
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 162118: Solve each of the following problems by setting up and solving an algebraic equation. Suppose that Bab is paid two times his normal hourly rate for each hour worked excess of 40 hours in a week. Last week he earned $504 for 48 hours of work. What is his hourly age?
Click here to see answer by checkley77(12844) |
Question 162201: The Function N(x)= -0.0534x^2 + 0.337x + 0.969
gives the number of active-duty military personnel in the United States Army (in millions) for the years 1965-1972, where x=0 corresponds to 1965, x = 1 corresponds to 1966 and so on. For this period, when was the Army's personnel strength level at its highest, and what was it?
I put it into the equation x = -b/2a which I got -3.155 rounded off =3
i then put the -3 into the original equation and I got the answer of -.5226 so I am guessing I did something wrong!
Any help? Please and thank you! :)
Click here to see answer by stanbon(75887) |
Question 162374: Find the domain and range of each relation.
{(-3,-7),(-1,-3), (0,-1),(2,3),(4,7)}
The domain is the x values
The range is the y values
Answer:
Domain= {-3, -1, 0, 2, 4}
Range= {-7, -3, -1, 3, 7}
Click here to see answer by eperette(173) |
Question 162733: The funtions are f(x)=2x^2+5x+7 and g(x)=x^3 + 2
The directions say evaluate the following: and identify the domain of each
The question is (f/g)(x)
I got 2x^2+5x+7/x^3+2 would the domain be that x cant equal 2?
Click here to see answer by gonzo(654) |
Question 162730: The funtions are f(x)=2x^2+5x+7 and g(x)=x^3 + 2
The directions say evaluate the following: and identify the domain of each
the question is (f-g)(x)
I got -x^3+2x^2+5x+5 but I still need the domain
Click here to see answer by vleith(2983) |
Question 162729: The functions are f(x)=2x^2+5x+7 and g(x)=x^3 + 2
The directions say evaluate the following: and identify the domain of each
(f+g)(x)
I got x^3+2x^2+5x+9 but I dont know what the domain is.
Click here to see answer by gonzo(654) |
Question 162906: You hike at an average rate of 3 miles per hour. Your total hiking experience d(in miles) is given by the function d=3t where t is the time(in hours) you spend hiking. If you hike for 4 hours, what is the range of the function?
Click here to see answer by elima(1433) |
Question 163024: I have a graphing problem and it is driving me crazy!!!! It is hard for me to explain it. But I will try. The problem is using a graph of y=-x^2+4x+5 but without solving the equation, or factoring, determing the solution to the equation -x^2+4x+5=0 but we have to use a graph!
The second problem is, but i'm not sure what is meant by calculate the value of discriminant of x^2+x+3=0?
Click here to see answer by Earlsdon(6294) |
Question 163107: The function H described by H(x)=2.75x+71.48 can be used to predict the height, in centimeters, of a woman whose humerus (the bone from the elbow to the shoulder) is x centimeters long.
Predict the height of the woman whose humerus is 35 cm long.
Click here to see answer by checkley77(12844) |
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