# Find range of a function given the domain??

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I have the following trigonometric curves with a given domain. How do you work out the range?

Domain #0<=x<=8#

**Functions:**

#y=asinpix#

#y=bcospix#

I have the following trigonometric curves with a given domain. How do you work out the range?

Domain

**Functions:**

##### 1 Answer

The ranges are

#### Explanation:

Your functions are a slightly modified version of the standard trigonometric functions

The most general case is

#A# influences the amplitude. The standard sine function has amplitude#1# , i.e. has range#[-1,1]# . Any modified version has amplitude#A# , i.e. ranges from#-A# to#A# .#omega# influences the period, given the formula#T=(2pi)/omega# #phi# and#b# are shift:#phi# translates the function horizontally,#b# represents a vertical translation.

In your case, the period of the function is

for both functions. This means that the domain