- For the first curve:
- Moving from left to right:
- The curve passes from quadrant 2 to quadrant 1.
- In quadrant 2, the curve trends up gradually to point (0 comma 3).
- In quadrant 1, the curve trends up sharply.
- As x increases, the curve approaches the line x equals 4.
- As x decreases, the curve approaches the line y equals 1.
- The curve passes through the following points:
- (negative 3 comma 2)
- (0 comma 3)
- Moving from left to right:
- For the second curve:
- Moving from left to right:
- The curve is in quadrant 4.
- In quadrant 4, the curve trends up sharply.
- As x increases, the curve approaches the line y equals 1.
- As x decreases, the curve approaches the line x equals 4.
- The curve passes through the following point:
- (6 comma negative 4)
- Moving from left to right:
The graph of is shown in the xy-plane. What is the value of ?
Correct answer: D
Explanation
Choice D is correct. Because the graph of is shown, the value of is the value of on the graph that corresponds with . When , the corresponding value of is . Therefore, the value of is .
Choice A is incorrect and may result from conceptual errors.
Choice B is incorrect and may result from conceptual errors.
Choice C is incorrect and may result from conceptual errors.
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