The amplitude of the trigonometric function shown below is defined as
the average of the absolute values of the maximum value of *f*(*x*) and the minimum value of *f*(*x*). The trigonometric function graphed below can be described by the equation *f*(*x*) = *a* sin(*bx* + *c*), where *a*, *b*, and *c* are real numbers. Which of the following values describes the amplitude of this function?

(A) 1

(B) 2

(C) 3

(D) π

(E) 2π

When x > 1, 3log_{x}x^{-2} = ?

（A）-6 （B） - （C） （D） 1 （E）

**Correct Answer: A**

The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.

Which of the following years had the LEAST increase in the percent of U.S. citizens who had consumed the brand-name soda from the previous year?

(F) 1990 (G) 1998 (H) 2001 (J) 2004 (K) 2006

**Correct Answer: G**

If 30% of x equals 60% of y, which of the following expresses y in terms of x ?

（A）y = 33% of x （B） y = 50% of x （C） y = 66% of x （D） y = 150% of x （E） y = 200% of x

**Correct Answer: B**

### More ACT Math Exam Questions

- 1Which of the following is the set of solutions to the inequality ?
- 2
What is the value of

*a*if log_{4}*a*= 3? - 3Lines p, q, r, and s are shown in the figure below and the set of all angles that are supplementary to x is {1,3,8,11}. Which of the following is the set of all lines that must be parallel?
- 4For what value of a is b = 4 a solution to the equation b - 2 = ab + 16?
- 5For values of x where csc x, sec x, and tan x are all defined, (csc x) o (sec x) o (tan x) = ?