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 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)
  • 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)

The graph of y=fx is shown in the xy-plane. What is the value of f0?

A.

-3

B.

0

C.

3 5

D.

3

For the first curve: Moving from left to right: The curve passes from quadrant 2 to

Easy-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

Choice D is correct. Because the graph of y=fx is shown, the value of f0 is the value of y on the graph that corresponds with x = 0 . When x = 0 , the corresponding value of y is 3 . Therefore, the value of f0 is 3 .

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.