From the ordered pairs $(-1,2)$, $(0,1)$, and $(1,4)$, determine the linear function $f\left(x\right)=ax+b$ that fits these points, if possible.

• A. $f\left(x\right)=x+1$
• B. $f\left(x\right)=x+3$
• C. $f\left(x\right)=2x+1$
• D. No single linear function fits all three points

Answer: (D)