Tutors Answer Your Questions about Functions (FREE)
Question 992345: The number of miles per gallon obtained with a new Prius is a function of the speed at which it is driven. Is this function increasing or decreasing on its domain? Explain.
(I think the function of miles per gallon decreases on its domain; however, I am having a hard time expressing in a f(x)=.....)
Click here to see answer by stanbon(75887)  |
Question 992344: The number of miles per gallon obtained with a new Prius is a function of the speed at which it is driven. Is this function increasing or decreasing on its domain? Explain.
(I think the function of miles per gallon decreases on its domain; however, I am having a hard time expressing in a f(x)=.....)
Click here to see answer by stanbon(75887) |
Question 993171: Please help I do not understand any of these questions. These are all quadratic formulas. Please show all work it helps me learn how to do the questions step by step.
1. Imagine yourself standing on the roof of the 1450-foot Sears Tower in Chicago. When you throw a baseball upward from the roof of the tower, the ball’s height above the ground, H (in feet), can be described as a function of the time, t (in seconds), since the ball was dropped. This height function is defined by
H(t) = -16t2 + 80t +1450
a. Identify the vertical intercept and what does it mean in the context of the problem
b. After the baseball is thrown, how long will the ball hit the ground?
c. Your answer to question #2 identifies one horizontal intercept of the equation. Identify another horizontal intercept and discuss whether it makes sense in the context of the problem.
d. Find the vertex of the equation and interpret it meaning in the context of the problem.
e. How far from the ground is the ball after 8 seconds?
f. At what time(s) is the ball 1500 feet above the ground?
g. Identify the practical domain in the context of the problem.
h. Identify the practical range in the context of the problem.
Click here to see answer by rothauserc(4718)  |
Question 993278: The first two are finding the domain and the last three are simplifying expressions. The slashes means it is in fraction form. I'm sure everyone already knew that. I really wish there was a way to do a fraction bar on here. Thank you for any help!
R(X)= 3+2x/x^3+x^2-2x
C(X)= x+3/x^2-4
7x+35/x^2+5x
x^2+7x/x^2+5x-14
8x/2*x^5*4x^2
Click here to see answer by macston(5194)  |
Question 993650: Please help me with this problem also:
Find the coordinates of the focus and the equation of the directrix of the parabola which crosses the x axis at x = -1 and x = 3 and which crosses the y axis at y = -12.[ Hint: first find the equation of the parabola and then write it in the form  = 4p(y - k).]
Click here to see answer by josgarithmetic(39613) |
Question 993807: Find the domain of the function f(x)= the sq root of (5x-9)
A detailed explanation is greatly appreciated, as I need to understand for these type of problems. If you could possibly do an example of solving to find the domain of a different equation to help me better understand and then give a step-by-step explanation of how to solve this equation that would be greatly appreciated! Thank you so much in advance.
Click here to see answer by rothauserc(4718) |
Question 993814: Find the interval(s) where the function f(x)=x^3-4x+2 is decreasing. For me to better understand this problem I think I would benefit from understanding the method behind solving this equation and all the information related to solving of this problem. I appreciate all your help and would greatly appreciate a -step-by-step system for solving to fully understand this porblem and other similar porblems. Thank you.
Click here to see answer by rothauserc(4718) |
Question 994027: A company produces a product for which they variable cost is $12.30 per unit and the fixed costs are $98,000. The product sells for $17.98. Let x be the number of units produced. Write the total cost C as a function of the units produced.
What I have is C(x)=12.30x + 17.98
I can't help but feel it's wrong, is it?
Click here to see answer by Boreal(15235)  |
Question 994558: Find the interval [a, b] on which the function
f(x) = 2x^3 - 51x^2 + 420x + 3 is decreasing.
Enter your answer as: [a, b] for some constants a, b.
I am so confused! I was going to start by differentiating, but I'm not sure that is correct. Is this related to finding area of curves?
I am completely lost..
THANK YOU
Click here to see answer by solver91311(24713)  |
Question 994559: Find the (least) number a such that the function
f(x) = 2x^3−63x^2+624x+5
is concave up for all x > a.
I am so confused! I was going to start by differentiating, but I'm not sure that is correct. Is this related to finding area of curves?
I am completely lost..
THANK YOU
Click here to see answer by Fombitz(32388)  |
Question 994818: A ball is thrown into a lake, creating a circular ripple whose radius travels outward at a speed of 7 centimeters per second.
Define a function f that determines the area of the ripple, A, in square centimeters, in terms of the varying number of seconds that have elapsed since the ball hit the water, t.
Click here to see answer by ikleyn(52747)  |
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