$($a$)$ Sketch the graph of a function on $-1,2$ that has an absolute maximum but no local maximum.

$($b$)$ Sketch the graph of a function on $-1,2$ that has a local maximum but no absolute maximum.

$29-48$ Find the critical numbers of the function.

$29.f(x)=3x^2+x-2$

$30.g(v)=v^3-12v+4$

$31.f(x)=3x^4+8x^3-48x^2$

$32.f(x)=2x^3+x^2+8x$

$33.g(t)=t^5+5t^3+50t$

$34.A(x)=|3-2x|$