Pre-calculus

Given the following values for f(t):
t : f(t)
3 : -7
6 : 6
9 : 19
12 : 6
15 : -7
18 : 6

a) What is the period, frequency, midline, amplitude, maximum, and minimum?
b)Find a possible formula for f(t)
c)Find the domain and range of f(t)
d)Find a formula for an inverse function of f(t). (Hint: you will need to restrict the domain)What is the domain and range of the inverse function?

asked by Elle
  1. sketch it
    It goes from -7 to -7, one period, in (15-3) = 12 second period
    frequency = 1/period = 1/12
    midline = (19-7)/2 = 6
    single amplitude = 19-6 = 13 so double amplitude = 26
    max = 19. min = -7
    domain from 3 to 18 unless you let it go on the same shape from -oo to +oo
    range from -7 to + 19
    There is no inverse function for the whole thing because there are multiple values of x for the same y in the original, therefore multiple values of y for the same x in the invers
    Therefore you will have to split it up in the original to the section from x = 3 o 9, then from 9 to 15 , then from 15 to 18 and it is a nice straight line in each.

    posted by Damon

Respond to this Question

First Name

Your Response

Similar Questions

  1. Cosine Math Question

    Graph a cosine function whose amplitude is 4, period is π , midline is y=−3 , and y-intercept is (0, 1) . The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to
  2. precal

    The temperature of a chemical reaction oscillates between a low of 40 degrees C and a high of 100 degrees C. The temperature is at its lowest point when t = 0 and completes one cycle over a five-hour period. (a) Sketch below the
  3. physics (3 separate questions)

    1. The motion of a body is described by the equation ay = −308y. (a) Find the angular frequency. (b) Find the frequency. (c) Find the period. 2. A 2.10 kg mass attached to a spring oscillates with a period of 0.395 s and an
  4. precalculus

    how to find the max and min of a sine function? For the maximum, do you do midline+ amplitude? For the midline- Amplitude? f(x)= 7cosx + 15 Max is 15+7=22 min is 15-7= 8
  5. Pre-Cal

    A Ferris wheel is 50 meters in diameter and boarded from a platform that is 5 meters above the ground. The six o'clock position on the Ferris wheel is level with the loading platform. The wheel completes one full revolution every
  6. calculus

    there are no examples of this type of problem in my book so if you could help walk me through it - that would be extremely helpful. thanks ahead of time. Find the extreme values of the function on the interval and where they
  7. trig

    Consider the trigonometric function f(t) = -3+4cos(pi/3(t-3/2)) What is the amplitude/period of f(t)? What are the maximum and minimum values attained by f(t)?
  8. physics

    a certain hamornic motion has amplitude of 0.7m and a period of 1.3s.find(a)the frequency of oscillation(b)the maximum velocity(c)the maximum acceleration
  9. Trigonometry

    Someone please help me!!! I think I've found the correct formula for this but I don't understand exactly why this is a sine function and how to find the days of the year when Portland has 11 and 15 hours of daylight. PLEASE HELP!!
  10. physics

    what is the formula to find..If the driving frequency is reduced slightly (but the driving amplitude remains the same), at what frequency will the amplitude of the mass's oscillation be half of the maximum amplitude?

More Similar Questions