Question for-th

2.1 Nonlinear Functions - Function composition and evaluation
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  • For the first curve:
    • Moving from left to right, the curve is in quadrant 3.
    • As x decreases, the curve approaches the line y equals negative 1.
    • As x increases, the curve approaches the line x equals negative 1.
  • For the second curve:
    • Moving from left to right, the curve passes from quadrant 2 to quadrant 1 to quadrant 4.
    • As x decreases, the curve approaches the line x equals negative 1.
    • As x increases, the curve approaches the line y equals negative 1.
  • The 2 curves pass through the following points:
    • (negative 6 comma negative nine fifths)
    • (0 comma 3)
    • (4 comma negative one fifth)

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

Enter your answer:

For the first curve: Moving from left to right, the curve is in quadrant 3. As

Medium-difficulty · SAT Math · Nonlinear Functions — Function composition and evaluation. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

The correct answer is 3 . A y-intercept of a graph in the xy-plane is a point x,y on the graph where x = 0 . For the graph shown, at x = 0 , the corresponding value of y is 3 . Therefore, the y-coordinate of the y-intercept of the graph shown is 3 .