Answer:
Step-by-step explanation:
Function f is graphed. The positive x-axis contains point c. The graph consists of an N-shaped curve. The curve starts in quadrant 3, moves upward concave down to a point in quadrant 1, moves downward concave down to point c in quadrant 1, continues downward concave up to a point in quadrant 4, moves upward concave up and ends in quadrant 1. The curve is purple to the left of point c, where it is concave down, and is green to the right of point c, where it is concave up.
Notice how fff is \purpleC{\text{concave down}}concave downstart color #aa87ff, start text, c, o, n, c, a, v, e, space, d, o, w, n, end text, end color #aa87ff to the left of x=cx=cx, equals, c and \greenD{\text{concave up}}concave upstart color #1fab54, start text, c, o, n, c, a, v, e, space, u, p, end text, end color #1fab54 to the right of x=cx=cx, equals, c.
PROBLEM 1
Let fff be a twice differentiable function. This is the graph of its second derivative, f''f
′′
f, start superscript, prime, prime, end superscript.
Function f double prime is graphed. The x-axis goes from negative 8 to 8. The graph consists of a wave-shaped curve. The curve starts at (negative 8, 0), moves downward concave up to (negative 5, negative 5), moves upward concave up to (negative 2, 0), continues upward concave down t
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