Find Range and Domain

Find Range and Domain

Postby nycmath » Fri Aug 21, 2026 10:51 pm

Find the domain and range given the graph of a function.

See attachment.
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nycmath
 
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Re: Find Range and Domain

Postby Eigenvalue » Fri Aug 21, 2026 10:54 pm

Domain: (-infinity, infinity)
Range: [0, infinity)

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Re: Find Range and Domain

Postby nycmath » Sat Aug 22, 2026 3:37 pm

Eigenvalue wrote:Domain: (-infinity, infinity)
Range: [0, infinity)


I would like you to provide an explanation for your answers.

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Re: Find Range and Domain

Postby Eigenvalue » Sat Aug 22, 2026 3:38 pm

The domain is all real numbers as the function is a parabola and parabolas have a domain of all real numbers; the jump discontinuity at x=1 does not matter as it is not an endpoint

The range is [0, infinity), as the lowest range value is 0 and the parabola extends infinitely

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Re: Find Range and Domain

Postby nycmath » Sat Aug 22, 2026 3:41 pm

Eigenvalue wrote:The domain is all real numbers as the function is a parabola and parabolas have a domain of all real numbers; the jump discontinuity at x=1 does not matter as it is not an endpoint

The range is [0, infinity), as the lowest range value is 0 and the parabola extends infinitely


Perfect. Much better for all members to take note.

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