Question

Use the indicated x-values on the graph of y = f(x) to find the following.

Find intervals over which the graph is concave down. (Consider only the interval (a,h). Enter your answer using only interval notation.)

Answer 1

(a,c) ∪ (f, g)

Explanation:

The function is:

• concave down in the intervals: (a,c) and (f, g)

• concave up in the intervals: (c, f) and (h, g)

Draw the slope of the tangent lines of several points on the curve,

• if the slope increases, the segment is concave up

• if the slope decreases, the segment is concave down.