Question

Sketch the graph of a function whose first derivative is always negative and second derivative is always positive.

Answer 1

Draw a curve that is ever-decreasing as you go left-to-right, but is concave up.

Answer 2

Something like y=1/x, x>0 will work.

Answer 3

Or an exponential decay model has that property too.

Answer 4

your function must be decreasing and concave