SAT Math Multiple Choice Practice Test: Functions and Graphs - Calculator Section

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Question 6 questions

Time 9 minutes

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1. If f (x) = , what is the smallest possible value of f (x) ?

  • A. 0
  • B.
  • C. 1
  • D. 2

2.

x y
-3-7
-1-3
23

Based on the chart above, which of the following could express the relationship between x and y ?

  • A. y = x - 4
  • B. y = 2x - 1
  • C. y = 2x + 2
  • D. y = 3x - 3

3. Line l contains points (3, 2) and (4, 5). If line m is perpendicular to line l, then which of the following could be the equation of line m ?

  • A. x + 5y = 15
  • B. x + 3y = 15
  • C. 3x + y = 5
  • D. -5x + y =

4. If f(x) = 2x2 + 4 for all real numbers x, which of the following is equal to f(3) + f(5) ?

  • A. f(4)
  • B. f(6)
  • C. f(10)
  • D. f(15)

5.

The graph of y = g(x) is shown in the figure above. If g(x) = ax2 + bx + c for constants a, b, and c, and if abc ≠ 0, then which of the following must be true?

  • A. ac > 1
  • B. c > 1
  • C. ac > 0
  • D. a > 0

6. Carlos and Katherine are estimating acceleration by rolling a ball from rest down a ramp. At 1 second, the ball is moving at 5 meters per second (m/s); at 2 seconds, the ball is moving at 10 m/s; at 3 seconds, the ball is moving at 15 m/s; and at 4 seconds, it is moving at 20 m/s. When graphed on an xy-plane, which equation best describes the ball’s estimated acceleration where y expresses speed and x expresses time?

  • A. y = 5x + 5
  • B. y = 25x
  • C. y = 5x
  • D. y = (4x + 1)2 + 5