Exam 1 FORM B MAT 170 Precalculus Spring 2017 Multiple Choic

Exam 1: FORM B MAT 170 Precalculus Spring 2017 Multiple Choice mark all answers clearly on this exam and on the answer sheet. Each multiple-choice question is 3 points (It is possible to earn 105 points, but the exam will be graded out of 100). 1. Mike rides his bike at a constant rate of change of 21.5 miles per hour as he travels from one s town to another small town. Read all five options and select the one that includes all of the correct a. The change in the number of miles Mike travels is always 21.5 times as large as the change in the number of hours Mike rides. b. If Mike rides of one hour, he will ride hof21.5 miles. c. If Mike rides for 1 hour, Mike will travel a distance of21.5 miles. d. a and c only e. b and c only a, b, and c 2. Let g be the name of the function that determines the area of a circle g(r) for known values of the circle\'s radius, r. What does the answer to Solve g(r) 78.54 for r\" represent? a. The solution to this equation is the length of the radius of a circle that produces a circle with an area of 78.54 square inches. b. The solution to this equation is the area ofa circle that produces a circle with a radius length of c. The solution to this equation is the vertical line that intersects the graph of g at r 78.54 d. The solution to this equation is the horizontal line that intersects the graph of g at r 78.54. 3. What is the domain of the following function: h(x) a. (1,00) oo, 1) U (1, oo) c. [-2,1) u (1,00) d. (-2, oo) e. All real numbers Page 2 of 18 o 2017 Carlson, Oehrtman, and Moore

Solution

1. In one hour he travels 21.5 miles

Therefore in 1/2 hour he travels 21.5/2 miles

So both b and c are correct

Hence the correct option is e

2. g(r) = 78.54 for r means we have to solve for r, given area=78.54

Hence the correct option is A

3. h(x)=sqrt(x+2) / (x-1)

Sqrt cant take negative numbers

x+2>=0

x>=-2

And the denominator cant be 0

And at x=1,denominator becomes zero

Therefore domain is

[-2,1)U(1,infinity)

Correct option is c