Question

find the domain and range of real function f(x)=x^2 ​

Answer 1

Answer:

f(x)=  

25−x  

2

 

​  

 

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

25−x  

2

≥0

x  

2

≤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]

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