Rewrite $y=3x-1$ using standard function notation.

Is the set of ordered pairs $\left\{(1,2),(2,3),(1,4)\right\}\}$ a function? Choose the correct statement.

A linear function $f$ is known to satisfy $f\left(1\right)=3$ and $f\left(3\right)=7$. Find the constants $a$ and $b$ so that $f\left(x\right)=ax+b$.

Evaluate $f\left(x\right)=2x^2-x+3$ at $x=-2$.

Given $f\left(x\right)=3x-1$, evaluate $f\left(4\right)$.