Moving from left to right: The curve passes from quadrant 3 to quadrant 4. In quadrant 3, the curve trends

Question

Moving from left to right:
- The curve passes from quadrant 3 to quadrant 4.
- In quadrant 3, the curve trends up sharply to point (0 comma negative 5).
- In quadrant 4, the curve trends up gradually.
As x increases, the curve approaches the line y equals negative 4.
The curve passes through the following points:
- (negative 1 comma negative 9)
- (0 comma negative 5)
- (1 comma negative 4.2)

What is the $y$ -intercept of the graph shown?

Accepted Answer

Choice B is correct. The y -intercept of a graph in the xy -plane is the point x , y on the graph where x = 0 . At x = 0 , the corresponding value of y is - 5 . Therefore, the y -intercept of the graph shown is 0 , - 5 . Choice A is incorrect and may result from conceptual errors. Choice C is incorrect. This is the y -intercept of a graph in the xy -plane that intersects the y -axis at y = - 4 , not y = - 5 . Choice D is incorrect. This is the y -intercept of a graph in the xy -plane that intersects the y -axis at y = 0 , not y = - 5 .

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