A family of super exponential functio? n?Let f ? (??x) =? (??a ?? , whe ? re? > 0. a. What is the do?main of f ? (in te? rms of ?a)? b. Describe the end b?ehavior of f ? (near the boundary of its domain). ? c. Compute f ? ?.? Then? graph f? ? and ? ? for? = 0.5, 1, 2, and 3. ? d. Show that f ? has a single local maximu? m at the point ?z t?hat ? satisfies z ? = (a? ?? ? ? ? z.)ln (?a ? ?z). e. Describe how 7. [found i?n part (d)| varies as ?a increases. ? ? Descr? ibe how f ? (?z) varies as a? increases.

Solution 79AE Step1 Given that f(x)=(a x) where a>0 (a)...