Question

Find the domain and range of the real function f defined by f (x)= x²​

Answer 1

Answer:

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Answer 2

f(x)=25−x2

For the function to be defined, the expression inside the root must be greater than to equal to 0.

25−x2≥0

x2≤25

∣x∣≤5

−5≤x≤5

The domain of 

f(x)=[−5,5]

When x=±5,f(x)=0

When x=0,f(x)=5, this is maximum value.

The range is R=[0,5]