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Worksheet: Interpreting the Relative Maximum and Minimum and the End Behavior of a Graph
Q2:
Consider the graph of the quartic shown.
Which of the points , , and is a local maximum?
- A
- B
- C
Which of the points , , and is a local minimum?
- A and
- B and
- C and
Which of the points , , and is a global minimum?
- A
- B
- C
By considering the end behavior of the quartic, determine whether the leading coefficient is positive or negative.
- ANegative
- BPositive
Q3:
Consider the cubic graph shown.
What are the coordinates of the local maximum?
- A
- B
- C
- D
What are the coordinates of the local minimum?
- A
- B
- C
- D
If we consider the end behavior of this cubic, it enters into the bottom left quadrant and exits from the top right quadrant. Is the leading coefficient of this cubic positive or negative?
- ANegative
- BPositive
Q4:
What is the maximum value of the function ?
Q5:
Consider a function , where , , and are integers larger than 1. Which of the following statements is true?
- A There will be neither an absolute maximum nor an absolute minimum.
- B If is odd, there will be an absolute maximum.
- C The existence of extremes cannot be determined without more information.
- DIf is even, there will be an absolute minimum.
Q6:
Which of the following has the lowest minimum value?
- A
- B
- Ca quadratic function whose graph cuts the -axis at β1 and 2 and cuts the -axis at β4
- D
0 1 2 3 4 5 6 7 6 0 β4 β6 β6 β4 0 6 - E