Classify each function.

$($a$)$

y $=$

x $7$x $+7$

root functionrational function$$power functionlogarithmic functionexponential functiontrigonometric functionpolynomial function of degree $7$

$($b$)$

y $=$ x $+$

x$2$

x $3$

root functionlogarithmic function$$power functiontrigonometric functionpolynomial function of degree $3$exponential functionrational functionalgebraic function

$($c$)$ y $=4$x

power functionpolynomial function of degree $4$exponential functionlogarithmic functiontrigonometric functionroot function

$($d$)$y $=$ x$4$

power functionexponential function$$trigonometric functionroot functionlogarithmic function

$($e$)$y $=7$t$6+$ t$4$

logarithmic functiontrigonometric function$$power functionroot functionrational functionalgebraic functionexponential functionpolynomial function of degree $6$

$($f$)$y $=$ cos $+$ sin $$

algebraic functiontrigonometric function$$polynomial function of degree $6$rational functionlogarithmic functionpower functionexponential functionroot function