I need to know the range of the problem f(x)=10-x^2 for my precalculus test.
in Calculus Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

I need to know the range of the problem f(x) = 10 - x^2 for my precalculus test.

x^2 is always positive.

So -x^2 is always negative.

That means that 10 - x^2 is negative for large values of x.

10 - x^2 is only positive for x smaller than sqrt(10), and has its greatest positive value when x = 0.

That greatest value is f(0) = 10.

The range of the function then is from minus infinity to plus 10.

Range = (-ꝏ, 10]

 

by Level 11 User (80.8k points)

Related questions

1 answer
0 answers
1 answer
Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
84,043 questions
88,971 answers
1,990 comments
6,683 users