Question

Which of the following is a linear function?
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Answer 1

`\frac13x=y-3`

Explanation:

A linear function is the form:
`f(x)=mx+b`

A quadratic function is any polynomial function where the highest exponent is 2.

A cubic function is any polynomial function where the highest exponent is 3.

A reciprocal function is in the form:
`f(x)=(a)/(bx)`

`\frac13x=y-3`

`\implies y= \frac13x+3`

Therefore, this is a linear function

Cubic function:
`y=x^3+2`

Quadratic function:
`y=6x^2`

Reciprocal function:
`y=(2)/(3x)`