Tutors Answer Your Questions about Functions (FREE)
Question 1198012: 2. A ball is thrown from the top of a 144-foot bell tower. The ball follows a trajectory. The height (h)
reached by the ball after t seconds is given by the quadratic function h(t) = 64t-16t^2.
a. How high did the ball reach?
b. How long did it take to reach that height?
c. Where was the ball after 5 seconds?
Click here to see answer by ikleyn(52750)   |
Question 1198012: 2. A ball is thrown from the top of a 144-foot bell tower. The ball follows a trajectory. The height (h)
reached by the ball after t seconds is given by the quadratic function h(t) = 64t-16t^2.
a. How high did the ball reach?
b. How long did it take to reach that height?
c. Where was the ball after 5 seconds?
Click here to see answer by Alan3354(69443)  |
Question 1198039: Let f(X)=[(-x-3),(x < -1),cubic root of x,(-1 < or= x < 2),(x^2-x), (x > or= 2)].Find f(-1), f(1),f(2).
Possible answer one of the following:
A) -1,1,2
B) -4,-1,2
C) -2,-1,6
D) -4,1,6
E) -2,-1,2
Click here to see answer by ikleyn(52750) |
Question 1198039: Let f(X)=[(-x-3),(x < -1),cubic root of x,(-1 < or= x < 2),(x^2-x), (x > or= 2)].Find f(-1), f(1),f(2).
Possible answer one of the following:
A) -1,1,2
B) -4,-1,2
C) -2,-1,6
D) -4,1,6
E) -2,-1,2
Click here to see answer by math_tutor2020(3816) |
Question 1198065: A carpet installer charges a flat rate of $40, plus $1.50 per square foot for labor. So, the total cost for labor depends on the amount of carpet installed.
The relationship between the total cost for labor and the amount of carpet installed is
.
The domain of the relation is x ≥
.
The range of the relation is y ≥
Click here to see answer by ewatrrr(24785)  |
Question 1198110: (12) A coupon for $5 off any lunch price states that a 15% tip will be added to the price before the $5 is subtracted. So, C(x) = x - 5 represents the price after the coupon reduction. T(x) = 1.15 x represents the price after the tip is applied. Write the simplified composite functions C(T(x)) and T(C(x)). Which composite function represents the conditions of the coupon?
Click here to see answer by josgarithmetic(39613) |
Question 1198109: Calculate the indicated value. Remember to show your work.
(7) f(x) = 7x - 27x^2 - 7; Find f(-7)
(8) f(x) = -8x -5x^2 + 6; Find f(-10)
(9) f(x) = 11x^2 + 12x - 12; g(x) = 12x^2 - 11x + 11; Find g(f(3))
(10) f(x) = 13x - 10; g(x) = -12x^3 + 11x^2 - 12x - 11; Find f(g(3))
(11) f(x) = 14x^2 + 15x - 14; g(x) = 14x^2 + 11x - 10; Find f(f(4))
Click here to see answer by Alan3354(69443) |
Question 1198108: Calculate the indicated value. Remember to show your work.
(7)- f(x) = 7x - 27x2 - 7; Find f(-7)
(8)- f(x) = -8x -5x2 + 6; Find f(-10)
(9)- f(x) = 11x2 + 12x - 12; g(x) = 12x2 - 11x + 11; Find g(f(3))
(10)- f(x) = 13x - 10; g(x) = -12x3 + 11x2 - 12x - 11; Find f(g(3))
(11)- f(x) = 14x2 + 15x - 14; g(x) = 14x2 + 11x - 10; Find f(f(4))
Click here to see answer by Alan3354(69443) |
Question 1198106: State the domain and range for each. Is the relation a function? Why or why not?
(1) {(-1,-4), (3,4), (-3,-9), (2,-4), (-5,8), (0,-4)}
(2) {(18,-142), (87,-142), (-43,-92), (125,111), (87,101), (18,111)}
Click here to see answer by MathLover1(20849)  |
Question 1198107: State the domain and range. Explain how you find these mathematically without the use of a graph.
(3) y = 20 - 2x2
(4) y = 25(-7x-4)64
(5) y = x2 / (x2-16)
(6) Let “M” be the set of motor vehicle owners who are registered in Ohio. Let “R” be the set of all motor vehicle registration numbers. Is the correspondence between M and R a function? Why, or why not?
Click here to see answer by math_tutor2020(3816) |
Question 1198287: (4) y = 25(-7x-4)64
(5) y = x2 / (x2-16)
(6) Let “M” be the set of motor vehicle owners who are registered in Ohio. Let “R” be the set of all motor vehicle registration numbers. Is the correspondence between M and R a function? Why, or why not?
Click here to see answer by Alan3354(69443) |
Question 1198334: State the domain and range. Explain how you find these mathematically without the use of a graph.
(4) y = 25(-7x-4)64
(5) y = x2 / (x2-16)
(6) Let “M” be the set of motor vehicle owners who are registered in Ohio. Let “R” be the set of all motor vehicle registration numbers. Is the correspondence between M and R a function? Why, or why not?
Click here to see answer by MathLover1(20849) |
Question 1198361: Which of the following is a function?
A) [(1,2),(3,2),(1,3)]
B) [(1,3),(2,3),(6,7)]
C) [(9,4),(2,1),(9,6)]
D) [(6,2),(8,3),(6,4)]
E) [(2,6),(2,7),(2,9)]
Click here to see answer by math_tutor2020(3816) |
Question 1198362: Elizabeth wants to start selling cookies at a local farmers market. The farmers market charges an initial set up fee of $175, and each cookie will cost $0.25 to make.
Which of the following functions relates to the total cost (C) and the number of cookies made (n)?
A) C=175+0.25n
B) C=0.25n-175
C) C=175-0.25n
D) C=2.5n+175
E) C=0.25n
Click here to see answer by math_tutor2020(3816) |
Question 1198523: What is the domain and range of the function f( x)=sin^-1 (x)
The correct answer is one of the following. Which one?
A) domain [-1,1], range [-pi/2, pi/2]
B) domain [-1,1], range [0, pi]
C) domain [0,pi], range [infinity, infinity]
D) domain [infinity, infinity], range [0,pi]
E) domain [-pi/2, pi/2], range [infinity, infinity]
Click here to see answer by MathLover1(20849) |
Question 1198833: Find the domain and range of the function y=square root of (x-2) -4.
The correct answer is one of the following. Which one is it?
A) Domain (-infinite, infinite); Range (-infinite, infinite)
B) Domain (-infinite, 2]; Range [4,infinite)
C) Domain [-2,infinite); Range [4,infinite)
D) Domain [2,infinite); Range [-4,infinite)
Click here to see answer by MathLover1(20849) |
Question 1198860: Describe the end behavior of the function f(x)=2x^7+4x^4-6.
One of the following is the correct answer. Which one is correct?
A) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity
B) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity
C) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity
D) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity
Click here to see answer by greenestamps(13195)  |
Question 1198860: Describe the end behavior of the function f(x)=2x^7+4x^4-6.
One of the following is the correct answer. Which one is correct?
A) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity
B) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity
C) f(x) goes to -infinity as x goes to - infinity, and f(x) goes to +infinity as x goes to +infinity
D) f(x) goes to +infinity as x goes to - infinity, and f(x) goes to -infinity as x goes to +infinity
Click here to see answer by MathLover1(20849) |
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