A Function of x

by **nycmath** » Sat Aug 15, 2026 7:48 pm

Precalculus
Michael Sullivan
Edition 10
Chapter 2, Section 2.1

Determine whether the equation defines y as a function of x.

See attachment.

by **Eigenvalue** » Sat Aug 15, 2026 9:25 pm

37. x=y² is not a function of x as there is more than one output for every input. For example, when x=4, y=[tex]\pm \sqrt{2}[/tex]

by **Eigenvalue** » Sat Aug 15, 2026 9:26 pm

39. y=[tex]\sqrt[3]{x}[/tex] is a function of x as there is exactly one output for every input

by **nycmath** » Sat Aug 15, 2026 11:55 pm

Eigenvalue wrote:37. x=y² is not a function of x as there is more than one output for every input. For example, when x=4, y=[tex]\pm \sqrt{2}[/tex]

Correctly done.

by **nycmath** » Sat Aug 15, 2026 11:55 pm

Eigenvalue wrote:39. y=[tex]\sqrt[3]{x}[/tex] is a function of x as there is exactly one output for every input

The cube root is tricky.