Tutors Answer Your Questions about Functions (FREE)
Question 1006594: A function p(x) has a value of 5 when x>0 and a value of -5 when x<0.
A function q is defined as q(x) = x^2 - 4.
What is the value of (q(p(3))?
I get the answer:
Step 1. p(3) = 5 when 3>0 and -5 when 3<0.
Step 2. q(5) = 5^2-4 = 21.
But why did I use 5 in step 2, and what does this mean? Could someone put it in words?
Thank you.
Click here to see answer by jim_thompson5910(35256) |
Question 1006726: Landon travels 0.5 radians per minute as he rotates on a Ferris wheel.
Define a function, j, that gives Landon's horizontal distance to the right of the vertical diameter of the Ferris wheel (in radii) in terms of the number of minutes, t, that have elapsed since Landon started to rotate counter-clockwise from the 3 o'clock position
Thanks
Click here to see answer by josmiceli(19441)  |
Question 1007238: which relation represents a function?
1.(0,3),(2,4),(0,6)
2.(-7,5,(-7,1),(-10,3),(-4,3)
3.(2,0),(6,2),(6,-2)
4.(-6,5),(-3,2),(1,2),(6,5)
and explain why it represents a function
Click here to see answer by Boreal(15235)  |
Question 1007180: A Ferris wheel is 32 meters in diameter and the bottom of the Ferris wheel is 8 meters above the ground. You board the Ferris wheel at the 3 o'clock position.
1. Define a function f that gives your height above the ground (in meters) in terms of the number of minutes elapsed since you boarded the Ferris wheel, t.
Thank you!
Click here to see answer by Edwin McCravy(20056)  |
Question 1008652: When Jerome travels on the highway, he sets his cruise control at 65 mi/h. The function f (x) = 65x represents his total distance f (x) when he has traveled x hours. How many miles will he have travelled after 3.5 hours of driving on the highway
Click here to see answer by fractalier(6550)  |
Question 1008822: Juliana has created the function f(x) = the quantity of 3x plus 2, divided by 4 to represent the cost of texting on her current plan, where x represents the number of texts. Juliana discovers that, using the inverse function to solve for x = 24, she can predict how many texts she can use for $24. Explain to Juliana how to accomplish this, using complete sentences.
Click here to see answer by josgarithmetic(39618) |
Question 1009038: Let Use the defintion of the derivative to determine f'(-1)
Let Use the defintion of the derivative to determine g'(1)
I know that the limit definition of the derivative is lim h->0 just unsure how to apply it exactly.
Please show how this is done
Thank you
Click here to see answer by Alan3354(69443)  |
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