Tutors Answer Your Questions about Functions (FREE)
Question 618896: The function y = 16t2 + 486 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.
Click here to see answer by nerdybill(7008)   |
Question 619163: What is the solution of function g^2,g^3,g^4,g^5,g^6 and g^30?
The question give :
g(x)=(x-1)/(x+1).
I had ask my teacher,he said
g^4(x)=x
g^8(x)=x
g^12(x)=x
g^16(x)=x
g^20(x)=x
g^28(x)=x
g^2g^28(x)=?
g^2(x)=-(1)/(x)
and can you prove to me why my teacher say like above?
Thank You..
Click here to see answer by Alan3354(31528)  |
Question 619701: Suppose we are given two functions, say r(x) and s(x).
a) Is it true that r(x) + s(x) = s(x) + r(x) for all values of x? Why or why not?
b) Is it true that r(x) �� s(x) = s(x) �� r(x) for all values of x? Why or why not?
c) Is it true that r(0) = 0? Why or why not?
1
Click here to see answer by richard1234(5390)  |
Question 620346: A car travels at a constant speed of 60 km/h for hours, stops for half an hour and then travels for another 2 hours at a constant speed of 80 km/h, reaching its destination.
Construct a function that describes the distance travelled by the car, d (km), at time, t hours
Click here to see answer by lwsshak3(6761) |
Question 620708: Given the following piecewise function f(x)=[2x+4 for x<-3, -1 for -3<=x<=4, -x for x>4] find the domain. Find the range. Find the intercepts. Is f continuous on its domain? If not, state where f discontinues. Graph the function. Please show all work.
Click here to see answer by lynnlo(4169) |
Question 621018: Evaluate the function f(x) = x3 - 4x2 + 3x - 7 for x =-2
Evaluate the function g(x) = x2 - 5x + 2 for x =-1
List the range for the function {(-2,3), (-1,5), (0,7), (1,9)}.
Question options:
{-2,-1,0,1,3,5,7,9}
{-2,-1,0,1}
{3,5,7,9}
{1,3,5,7,9}
Click here to see answer by solver91311(17077)  |
Question 621482: 4. Consider the following formula: a = 1/2 b - 4
Which of the following statements is true for this formula?
A. When the value of b is less than 8, a is negative.
B. When the value of b is greater than 8, a is negative.
C. When the value of b is less than 8, a is positive.
D. When the value of b is greater than 4, a is positive.
This is a sample question Im preparing for a test & I need the answer to be explained to me so that I.will be able to answer similar problems like this.
Click here to see answer by fcabanski(889) |
Question 621582: I need help with Domain and Funcitons, I'm not particularly sure how to deal with this specific problem!
https://docs.google.com/viewer?attid=0.1&pid=gmail&thid=137f808a0f70571d&url=https%3A%2F%2Fmail.google.com%2Fmail%2F%3Fui%3D2%26ik%3D3cdd276e34%26view%3Datt%26th%3D137f808a0f70571d%26attid%3D0.1%26disp%3Dsafe%26zw&docid=f1772cd3a5e316080c2476bacb3d335d%7C42640b2ee7d20ce141c6ec84526e5611&a=bi&pagenumber=1&w=1049
This is a homework question for my college algebra class. I really have no idea how to work this out!
I'm not sure how to do functions like this an I dont even recognize the Xe!
Click here to see answer by math-vortex(472)  |
Question 622664: Please help me with this I need this tomorrow.
For each of the following relations, indicate which relations are also functions.
1. {(2,5),(3,6),(4,7),(5,8)}
2. {(1,1),(2,8),(3,27),(4,64)}
3. {(1,4),(2,4),(3,5),(4,5)}
4. {(0,1),(0,2),(3,3),(3,4)}
5. {(a,6),(b,6),(c,6),(d,6)}
6. {(a,2),(a,4),(a,6),(a,8)}
Express each statement, using function notation.
13. How much do 3 kilograms of chicken cost, if it sells for Php 95/kilogram?
14. y is 500 when x=25
15. Find the value of y that corresponds to the value of x=12.
Let f(x)=3x-1 and g(x)=2x squared-4x+3. Evaluate the following:
16. f(6)
17. f(-5)
1
18. f(-)
3
19. g(5)
20. g(-1)
21. g(0)
1
22. g(-)
2
23. f(a-1)
24. g(a-1)
1
Let f(x)=3x squared and g(x)=-x squared-2. Evaluate the following:
2
25. f(0)
26. f(-2)
2
27. f(-)
3
28. g(-1)
29. g(4)
1
30. g(-)
2
31. f(5a)
32. g(2a)
33. f(a+2)
Note numbers 7-12 are not part of my assignment.
Many Thanks!
Click here to see answer by lynnlo(4169) |
Question 622710: Find the domain of the composite function f g.
f(x)=√x;g(x)=4x=12
A) {x|x≤-3 or x≥0}
B) {x|x≥-3}
C) {x|x≥0}
D) {x|x is any real number}
could someone please assist me with this I have no clue
Click here to see answer by KMST(1936)  |
Question 623398: Part V: Logarithms
One important application of logarithms is found in various computer search routines. For example, a binary search algorithm on a table (or array) of data takes a maximum of log2n (“log base 2, of n”) steps to complete, where n is the number of data elements that can be searched. How many steps (at most) are needed for a search of a table with 16 elements? 512 elements? Explain.
The approximation of the natural logarithm of 2: ln 2 ≈ 0.693 is commonly used by applied scientists, biologists, chemists, and computer scientists. For example, chemists use it to compute the half-life of decaying substances. Based on this approximation and the power rule for logarithmic expressions, how could you approximate ln 8, without a calculator? Explain.
Click here to see answer by Earlsdon(6294) |
Question 623721: The sum of the length l and the width w of a rectangular area is 260 meters.
(a) Write w as a function of l.
w = ?
(b) Write the area A as a function of l.
A = ?
(c) Find the dimensions that produce the greatest area.
l = ? m
w = ? m
Click here to see answer by ewatrrr(10682)  |
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