(a) sketch a graph that is always decreasing but starts out concave down and then changes to concave up…

(a) sketch a graph that is always decreasing but starts out concave down and then changes to concave up. there should be a point of inflection in your picture.\n(b) sketch a graph that is always increasing but starts out concave down and then changes to concave up. there should be a point of inflection in your picture.

(a) sketch a graph that is always decreasing but starts out concave down and then changes to concave up. there should be a point of inflection in your picture.\n(b) sketch a graph that is always increasing but starts out concave down and then changes to concave up. there should be a point of inflection in your picture.

Answer

Answer:

(a) Plot a curve that slopes downwards (negative - slope) throughout. The curve should be bending downwards (concave down) initially and then bend upwards (concave up) after a point of inflection. Label the x - axis and y - axis. Mark the point of inflection. (b) Plot a curve that slopes upwards (positive - slope) throughout. The curve should be bending downwards (concave down) initially and then bend upwards (concave up) after a point of inflection. Label the x - axis and y - axis. Mark the point of inflection.

Discipline: Mathematics Sub - field: Calculus