Q # $5(10$ pts$)$ For the given function $f(x)$ below, use the concept of derivatives and algebra to answer the questions. You can use graphs to confirm your answers, but you'll need to answer the questions algebraically.

i$.$ Find the intervals of increase or decrease.

ii$.$ Find the local maximum and minimum values. Use either the First Derivative or Second Derivative Test but do you know how to use both.

iii. Find the intervals of concavity and the inflection points.

iv$.$ Find the absolute min and max.

$f(x)=-4x^2-8x+12$