Posted by **Elle** on Thursday, March 26, 2009 at 6:28pm.

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?

- Pre-calculus -
**Damon**, Thursday, March 26, 2009 at 6:58pm
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.

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