Open with Mathematics 30-1 Quiz 1.1 - TS Value PART A: MULTIPLE CHOICE/NUMERICAL RESPONSE 12 This quiz includes multiple choice and numerical response questions. For multiple choice questions, select the best answer. For numerical response questions, enter the numerical values into the space provided. 1. Which function is a radical function? A. /x) =4vx+5 -2 B. f(x) = 475 -x C. {(x) = 4x//5 - 2 D. f(x) = 4/5-2 Hint: Review the definition of a radical function provided in part 1 of this lesson. 2. Suppose the average number of apples consumed each year by a single person can be modelled by the function M(x) = > 22x + 180 + 20. What is the range of this function? -90 A. FS - 11 -90 B. 11 G. y = 20 D. y 2 20 Hint: Range refers to the acceptable output, or y-values. 3. The domain and range of the function /(x) =- 3x - 1 , respectively, are A. x 2 1 and A(x) 2 0 B. x 2 1 and Ax) s Q C. x 3-x may be determined by finding A. the x-coordinate of the point of intersection of the graphs of y = vx + 1 and y= V3-x. B. the x-intercept of y = yx +1 + 3-x. C. the y-coordinate of the point of intersection of the graphs of y = vx + I and y = v3-x. D. the y-intercept of y = v x + 1 + 3-x. Hint: There are multiple ways to solve an equation graphically. Which of these is acceptable? Page 2 / 5 - Q +Open with Mathematics 30-1 Quiz 1.1 - TS Numerical Response 2. Given /(x) = 2x - 10, the positive .x-value that gives the smallest value of y = ( /(x), to the nearest hundredth, is Hint: Consider the domain restrictions. The interval for which vx* - 1 is nonreal is A *l Hint: Recall that for x, x may have two possible values, positive and negative. 7. Determine the solution to 3 =8- 2x + 1, and indicate the restrictions on the variable. x =- 12.1 2 B. x =- 12, x 2 N- N- N- N- C. x = 12. x S- D. x = 12, x 2 Hint: Isolate the radical first, then square both sides to solve for x. Page 3 / 5 - Q +Open with Quiz 1.1 - TS Mathematics 30-1 8. Kim solved the equation x - vx + 10 = 2 as follows. x- v x+ 10 = 2 x-2= /x+ 10 x-4r+4 = x+10 x- 5x-6=0 (x-6)(x+1)=0 * =6. - 1 The extraneous root(s) introduced by Kim is/are A. B. 6 C. - 1 and 6 D. no extraneous root was introduced Hint: Recall that extraneous roots are found algebraically, but do not satisfy the equation when verified. 9, The time, / seconds, it takes a pendulum to complete one back and forth swing can be determined by the equation / = 0.32 / , where / is the length of the pendulum in inches. Determine the length of the pendulum if it takes 1.3 s to make a complete back and forth swing. A. 2.02 in B. 2.03 in C. 4.06 in 16.50 in Hint: Rearrange the formula to find the value of /. Page 5 - Q +Open with Mathematics 30-1 Quiz 1.1 - TS 10. The time, / seconds, it takes a pendulum to complete one back and forth swing can be determined by the equation / = 0.32 / , where / is the length of the pendulum in inches. A clock manufacturer has an adjustable length pendulum with the shortest length being 6 in and the longest length being 10.5 in. Determine the range of swinging times for this pendulum. A. 0.32 5 1 5 1.037 B. 0.784 $ 1 5 0.911 C. 0.784 / 1.037 D 0.911 / $ 1.037 Hint: Use the values of / to calculate the values of r. Page 5 / 5 +