Question

1)The following function defines a recursive sequence:

Answer 1

1) -3, 6, -9, 12...
f(2) = -2*6 - (-3) = -9
f(3) = -2*-9 - (6) = 12

2) 2) Choose the slope-intercept equation of the line that passes through the point (-2, 2) and is parallel to y = 4x + 7.
Slope equals 4, since it's parallel. Substituting...
2 = 4*-2 + b          Add 8 to both sides
10 = b 
y= 4x + 10

3)Question is poorly transcribed, but assuming the points are (10, 60) and (16, 96):
 Average rate of change = (96-60) / (16-10) = 36 / 6 = 6m/s. 

4) A slope of zero means that y does not change with x. This means y is the same for any x value, so y is a horizontal line.
The third graph, the one where y= -6, is the correct answer.