New SAT Math Workbook

To determine the functions range apply the rule that

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Unformatted text preview: all real numbers, which of the following sets indicates the range of the function? (A) {y | y ≥ 1} (B) {y | y > 1} (C) {y | y ≤ 1} (D) {y | y < 1} (E) {y | y ≥ –2} In the linear function f, if f(–6) = –2 and the slope of the graph of f in the xy-plane is –2, which of the following is true? (A) f(–10) = –6 (B) f(–6) = 0 (C) f(–8) = 2 (D) f(6) = 2 (E) f(8) = 4 Which of the following inequalities accounts for all such values of x ? (A) |y| ≥ 3 (B) |x| ≥ 3 (C) |x| ≤ 3 (D) |y| ≤ 3 (E) |y| ≤ –3 www.petersons.com Numbers and Operations, Algebra, and Functions 263 8. Once a certain airplane attains its maximum speed of 300 miles per hour (mph), it begins decreasing speed as it approaches its destination. After every 50 miles, the plane decreases its airspeed by 20 mph. Which of the following equations best defines the number of miles the plane has traveled (m) after beginning to decrease speed as a function of the airplane’s airspeed (s)? (A) (B) (C) (D) (E) 5m + 750 2 2m s=− + 300 5 5s m = − + 750 2 5s m = − + 300 2 2s m= + 300 5 s=− 9. In the xy-plane, the graph of 3x = 2y2 shows a parabola with vertex at the point defined by the (x,y) pair: (A) (0,0) (B) (0,2) (C) (2,0) (D) (3,2) (E) (2,3) 10. A model rocket is shot straight up in the air from ground level. After 2 seconds and then again after 3 seconds, its height is 96 feet. Which of the following equations could define rocket’s height, (h), as a function of the number of seconds after launch (t)? (A) h = 10t2 – 74t (B) h = 8t2 – 64t (C) h = 64t – 8t2 (D) h = 80t – 16t2 (E) h = 96t – 10t2 www.petersons.com 264 Chapter 15 SOLUTIONS TO PRACTICE EXERCISES Diagnostic Test 1. The correct answer is 16,000. Solve for a in the general equation a · r (n – 1) = T. Let T = 256,000, r = 2, and n = 5 (the number of terms in the sequence that includes the city’s population 20, 15, 10, and 5 years ago, as well as its current population). Solving for a: a × 2(5−1) = 256, 000 a × 2 = 256, 000 a × 16...
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