## University Calculus: Early Transcendentals (3rd Edition)

$a.\:\:\:h$ $b.\:\:\:f$ $c.\:\:\:g$
Observe the given functions in terms of the $\:x\:$ power. We come to notice that the function $\:y=x^7\:$ is an odd function among the three. It is represented by $\:f(x).$ Although $\:g\:\:\mathrm{and}\:\:h\:$ are both even functions, $\:g\:$ is more flat around the origin $\:(0,0)\:$ and has a larger slope for bigger values of $\:x.$ Therefore, $\:g(x)=x^{10}\:$ (the function represented in yellow) and $\:h(x)=x^4$ (the function represented in blue).