1)The following function defines a recursive sequence:f(0) = -3f(1) = 6f(n) = -2•f(n -1) - f(n - 2); for n > 1Which of the following sequences is defined by this recursive function? -3, 6, -9, -12, … -3, 20, -95, 480, … -3, 6, -9, 12, … -3, -20, -95, -480, …2) Choose the slope-intercept equation of the line that passes through the point (-2, 2) and is parallel to y = 4x + 7. y = 4x + 10 y = x + y = -4x - 6 y = - x + 3)The table below represents the distance a person runs as a function of time:Time(second)xDistance(meters)f (x)10601378169619114The average rate of change of the function between x = 10 to x = 16 is m/s and represents the person's speed. 4)Choose the graph below that has slope of zero.
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.