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1)The following function defines a recursive sequence:

f(0) = -3

f(1) = 6

f(n) = -2•f(n -1) - f(n - 2); for n > 1

Which 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)
x

Distance
(meters)
f (x)
10

60
13

78
16

96
19

114
The 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.

1The following function defines a recursive sequence f0 3 f1 6 fn 2fn 1 fn 2 for n gt 1 Which of the following sequences is defined by this recursive function 3 class=
1The following function defines a recursive sequence f0 3 f1 6 fn 2fn 1 fn 2 for n gt 1 Which of the following sequences is defined by this recursive function 3 class=
1The following function defines a recursive sequence f0 3 f1 6 fn 2fn 1 fn 2 for n gt 1 Which of the following sequences is defined by this recursive function 3 class=
1The following function defines a recursive sequence f0 3 f1 6 fn 2fn 1 fn 2 for n gt 1 Which of the following sequences is defined by this recursive function 3 class=

Respuesta :

pmayl
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. 

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