The function f(x) is represented by this table of values. x f(x) -5 35 -4 24 -3 15 -2 8 -1 3 0 0 1 -1 Match the average rates of
change of f(x) to the corresponding intervals. Tiles -3 -8 -7 -4 Pairs [-5, -1] [-4, -1] [-3, 1] [-2, 1]
1 answer:
The given data is shown in the table below.
x: -5 -4 -3 -2 -1 0 1
f(x): 35 24 15 8 3 0 -1
A graph of the data is shown below.
Calculate rates of change, r.
Interval: [-5, -1]
r = (35 - 3)/(-5+1) = -8 (tile -8)
Interval: [-4, -1]:
r = (24 - 3)/(-4 + 1) = -7 (tile -7)
Interval: [-3, 1]:
r = (15 + 1)/(-3 - 1) = -4 (tile - 4)
Interval: [-2, 1]
r = (8 + 1)/(-2 - 1) = -3 (tile -3)
Answer:
Tile Interval
----- ----------
-3 [-2, 1]
-4 [-3, 1]
-7 [-4, -1]
-8 [-5, -1]
x: -5 -4 -3 -2 -1 0 1
f(x): 35 24 15 8 3 0 -1
A graph of the data is shown below.
Calculate rates of change, r.
Interval: [-5, -1]
r = (35 - 3)/(-5+1) = -8 (tile -8)
Interval: [-4, -1]:
r = (24 - 3)/(-4 + 1) = -7 (tile -7)
Interval: [-3, 1]:
r = (15 + 1)/(-3 - 1) = -4 (tile - 4)
Interval: [-2, 1]
r = (8 + 1)/(-2 - 1) = -3 (tile -3)
Answer:
Tile Interval
----- ----------
-3 [-2, 1]
-4 [-3, 1]
-7 [-4, -1]
-8 [-5, -1]
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We would have a filled in circle if we had "or equal to" as part of the inequality, but we don't.
The graph is shown below.
