Question

What is an implicit function?

Options

• A relation that can be easily solved for \[y\] and written as \[y=f(x)\].

• An equation containing \[x\] but not \[y\].

• An equation that contains both \[x\] and \[y\] and cannot be solved directly for \[y\].

• A relation in which \[y\] is constant.

Answer 1

An implicit function contains both \[x\] and \[y\] without directly expressing \[y\] in terms of \[x\]. Such a relation cannot be solved directly for \[y\].