Question

How to find range of a function?

Answer 1

Answer -

1. How to find the range
2. The range of a function is the spread of possible y-values (minimum y-value to maximum y-value)
3. Substitute different x-values into the expression for y to see what is happening. (Ask yourself: Is y always positive? ...
4. Make sure you look for minimum and maximum values of y.
5. Draw a sketch!

Hope it will help you.

Answer 2

Range is literally the range of outputs a function can give

The first thing you need to know is the domain i.e the inputs for which the function is defined.

Then you should try substituting some values from the domain and only from the domain into the equation of the function (go for 1,0 and -1 first and then look at the function to know which input could give the min and max output)

After you get the min and max output you just need to write down the range as an interval.

eg: for y=x^2-2, I know that the x^2 term can't be negative coz its a square so there's no need to substitute any negative number and the domain is the set of all real numbers

so substitute x with 1 first and we get 1-2=-1

try substituting with 0 and we get 0-2=-2

now all we can do is substitute numbers greater than 0 and 1 which will obviously give the output> -2

so the minimum output is -2

now the max output is ∞ because if i substitute ∞ for x I'll get ∞

hence range= [-2,∞)

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