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Nonlinear functions SAT question

Math · Advanced Math · Easy · Answer it here, explanation included.

  • 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 -intercept of the graph shown?

ExplanationShow

Choice B is correct. The y-intercept of a graph in the xy-plane is the point  on the graph where . At , the corresponding value of is . Therefore, the y-intercept of the graph shown is .

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 , not .

Choice D is incorrect. This is the y-intercept of a graph in the xy-plane that intersects the y-axis at , not .

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