Math Problem Statement
Use the graph to identify the points on the interval left bracket a comma b right bracket at which local and absolute extreme values occur. Question content area bottom left Part 1 List the x-values where local minima occur, if any. Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The local minimum value(s) occur(s) at xequals q comma s. (Use a comma to separate answers as needed.) Your answer is correct.B. There is no local minimum. Part 2 List the x-values where local maxima occur, if any. Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The local maximum value(s) occur(s) at xequals r. (Use a comma to separate answers as needed.) Your answer is correct.B. There is no local maximum. Part 3 List the x-values where absolute minima occur, if any. Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The absolute minimum value(s) occur(s) at xequals enter your response here. (Use a comma to separate answers as needed.) B. There is no absolute minimum. . . . Question content area right Part 1 a q r s b x y y equals f left parenthesis x right parenthesis
A coordinate system has an unlabeled vertical y-axis and a horizontal x-axis with the following labeled values, listed from left to right: a, q, r, s, and b. A curve labeled y equals f left parenthesis x right parenthesis starts above the x-axis at a and falls from left to right until reaching q. Then the curve rises from left to right until reaching r, which is below the previous location of the curve at a. Next, the curve falls from left to right until reaching s. At s, the curve is below the previous location of the curve at q. The curve has a cusp at s. Finally, the curve rises from left to right until ending at b. At b, the curve is still below the previous location of the curve at q. There are vertical dashed lines extending from the labeled values on the x-axis to the curve.
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Graph Analysis
Extrema
Intervals
Formulas
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Theorems
Extreme Value Theorem
Local Extrema Identification
Suitable Grade Level
Grades 11-12