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Home > CALC3RD > Chapter Ch8 > Lesson 8.3.1 > Problem 8-108

8-108.

Multiple Choice: Given the graph of at right and . Which of the graphs below could be the graph of ?

  1. X axis with points labeled, A & b, Curve starting on the positive y axis, concave down, turning up but still concave down at point on x axis labeled, a, turning down halfway between a & b, & stopping at point on x axis labeled, b.

  1. X axis with points labeled, A & b, Curve starting on the positive y axis, passing through the x axis between the origin & point labeled a, turning up at x = a, changing from concave up to concave down half way between a & b, stopping at a higher y value at x = b.

  1. X axis with points labeled, A & b, Curve starting at the origin, turning up at x = a, & negative y value, changing from concave up to concave down half way between a & b, stopping at a positive y value at x = b.

  1. X axis with points labeled, A & b, Curve starting at the origin, turning down at x = a, & positive y value, changing from concave up to concave down half way between a & b, stopping at a negative y value at x = b.

  1. X axis with points labeled, A & b, Curve starting on the negative y axis, changing from concave up to concave down @ x axis 3 fourths of the way between the origin & point labeled a, turning down at about 1 third of the way between, A & b, stopping at the x axis just before x = b.

X axis with points labeled, A & b, Curve labeled, f of x, starting on the positive y axis, concave down, changing to concave up as it passes through the x axis at point labeled, a, turning up half way between a & b, & stopping at point on x axis labeled, b.

represents the accumulated area under . Is that accumulated area ever negative? If so, where?

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