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

Tutors, please sign in to answer this question.

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]

Mary F.

Highly Qualified Math Teacher, Kaplan Trained

Bronxville, NY

5.0
(55 ratings)

Robert E.

Experienced Physics and Math Tutor

Jamaica, NY

4.9
(495 ratings)

Justin H.

Math, Computer Science, and SAT Tutoring from a Google Engineer

New York, NY

5.0
(411 ratings)