The graph of the trigonometric function f(x) = 2 sin 
x is represented below. Which of the following is true of this function?
(A)f(x) is a 1:1 function (that is, x is unique for all f(x) and f(x) is unique for all x).
(B) f(x) is undefined at x = 0.
(C) f(x) is even (that is, f(x) = f(-x) for all x).
(D) f(x) is odd (that is, f(-x) = -f(x) for all x).
(E) f(x) falls entirely within the domain -6 ≤ x ≤ 6.
If 2x2 - x - 15 = 0, what are the 2 possible values for x?
（A）-5 and 
（B） -3 and 
（C） -3 and 
（D） 3 and -
（E） 5 and -
Correct Answer: D
Sebastian bought a meal at a restaurant and left a 15% tip. With the tip, he paid exactly $35.19. How much did the meal cost without the tip?
(A) $28.98(B) $29.91(C) $30.15(D) $30.60(E) $30.85
Correct Answer: D
Two variables, vand w,are inversely proportional such that when v= 7, w= 14. What is the value of wwhen v= 2?
(F) 1(G) 4(H) 14(J) 28(K) 49
Correct Answer: K
More ACT Math Exam Questions
- 1
Greg is making a triangular sail for a boat, shaped like a right triangle and shown below.
The angle opposite the 120-foot side measures about 65.2°. Greg would like to make a second sail. This one will still be a right triangle with a 50-foot side as one leg, but the 120-foot side will be shortened until the angle opposite that side is about 10°. By about how many feet will Greg need to shorten the 120-foot side?
(Note: sin 10° ≈ .17, cos 10° ≈ .98, tan 10° ≈ .18)
- 2
If (a,-3) is on the graph of the equation x - 4y = 14 in the standard (x,y) coordinate plane, then a =?
- 3Which of the following is the graph of the equation
in the standard (x, y) coordinate plane? - 4
Martha picked out a pair of shoes she wanted and brought them to the front of the store to pay. The cashier told her that the shoes were on sale for 30% off the original price. She rang up the sale price plus 5% sales tax, so Martha ended up paying $58.80 for the shoes. What was the original price for the shoes?
- 5
For f(x,y) = 7x + 9y, what is the value of f(x,y) when
and x = 3?