1. Which function has a negative average rate of change on the interval 1<x<4?

a) f(x) = x^2 - x - 1

b) g(x) = 1.6x - 2

c) h(x) = -x^2 + 9

d j(x) = -3

2. For which value of x is the instantaneous rate of change of h(x) = 0.5x^2 + x - 2 closest to 0?

a) x= -1

b) x= -1

c) x= 0

d x= 1

3. Martin walks 5 m toward a motion sensor over the course of 10 s, at a constant speed. What would be the slope of the segment representing this walk on a distance versus time graph?

a) -2

b) -1/2

c) 1/2

d) 2

4. A student is walking in a straight line infront of a motion sensor. The sensor begins collecting data when the student is 6 m away. The student walks toward the sensor for 4 s at a rate of 1m/s. Then she walks away from the sensor for 8 s at a rate of 0.5 m/s. Which of the points is on the graph of the distance versus time?

a) (6, 0)

b) (8,2)

c) (10, 6)

d) (12,6)

5. Myra is riding a Ferris Wheel. Her height h(t), in metres above the ground at time t seconds, can be modelled by h(t) = 10sin(6(t-20)) + 10. At what time will Myra's car be at its greatest height?

a) t=20s

b) t=35s

c) t=40s

d) t=55s

6. At which point on the graph of f(x) = -x^2 -2x + 15 is the slope of the tangent 0?

a. (-2,15)

b. (-1, 16)

c. (0, 15)

d. (3,0)

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For the image below, (number 5 and 6)

for the first graph where it says, Which graph models walking directly away from a motion sensor at a constant rate?

It is letter C?

For number 6, is it D, cannot be determined because its staying still? Or could it be intervals 5<t<7 (b)?