How To Find The Range Of A Function

Range is the difference between greatest data value and least data value.
Suppose there is two set of data value first  one is X( a,b,c,d) and second one is Y(p,q,r,s).
If a function ‘f’is defined from set X to set Y then for f:X->Y , set x is called the domain of function f and set y is called co-domain function of f. The set of f images of the elements of x is called the range of function .
So in this case
Range = p,q,r

How to find the range of a function
#The easiest way to the range is on the graph. The range of the function is the range of y values it enclose.
#If domain is given, the range is the range of y values  corresponding to x values in the domain.
# check if function repeats. Any function which repeats along the x-axis will have the same range for the entire function.
Example: sin(x) has a range of -1
#The domain of a function’s inverse function is equal to that function’s range.
#Take a derivative of the graph. Find the y values at these points and the ends of the domain and take the most extreme ones as the boundary of the range. (know more about Range, here)

 Example: find the range of the function : g(x)= x/3+5 if the domain is -6,-3,0,3,6
Solution: we know that domain is the values x takes. Range is the corresponding values of the function takes.
Here g(x)= x/3+5.
For example when x=-6,we get -6/3+5=3
When x=-3, we get -3/3+5=4
When x=0, we get 0+5=5
When x=3, we get 3/3+5=6
When x=6, we get 6/3+5=7
So the range is (3,4,5,6,7)
In cbse syllabus for class 9th 2013 , specific heat equation is given by
Q = mc delta T
Where Q is amount of heat needed
M is the mass
C is specific heat capacity
Delta t = temperature difference.