f(x)=x

^{2 }+7need the domain and range of the interval notation

f(x)=x^{2 }+7

need the domain and range of the interval notation

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Scottsdale, AZ

Domain: (-∞, ∞), since f(x) is defined for all real values of x.

Range: [7, ∞), since the minimum value of f(x) is 7, and f(x) is open up, there is no upper limit.

Middletown, CT

Hi Jim;

The domain is negative infinity to positive infinity. The factor of x is the numerator, not the divisor. Therefore, it can be zero. It is also not being square-rooted. Therefore, it can be a negative number.

The range is different because x^{2} will render any value of x either zero or a positive number. We need to establish the minimum while recognizing there is no maximum.

y=0^{2}+7

y=7

The range is...

[7, positive infinity]

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