Which of the following is a linear function?
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Answer:
[tex]\dfrac13x=y-3[/tex]
Step-by-step explanation:
A linear function is the form: [tex]f(x)=mx+b[/tex]
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: [tex]f(x)=\dfrac{a}{bx}[/tex]
[tex]\dfrac13x=y-3[/tex]
[tex]\implies y= \dfrac13x+3[/tex]
Therefore, this is a linear function
Cubic function: [tex]y=x^3+2[/tex]
Quadratic function: [tex]y=6x^2[/tex]
Reciprocal function: [tex]y=\dfrac{2}{3x}[/tex]