These tables represent an exponential function.Find the average rate of change for the interval from x=8 to x=9
1 answer:
Answer:
Option D. 13122 is the answer.
Step-by-step explanation:
As we can see from the table having interval and average rate of change, figures under average rate of change are forming a geometric sequence.
Sequence is 2, 6, 18 , 54, 162, 486.
and we have to find the average rate of change from x = 8 to x = 9, means we have to find 9th term of the given sequence.
Now we know that explicit formula of the sequence can be written as
where Tn is the nth term of the sequence.
a = first term
r = common ratio
n = number of the term
Now from this explicit formula we can find the 9th term of the sequence.
From the given table
a = 2, r = 3, n = 9
T9 = 13122
Therefore Option D. 13122 will be the answer.
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Answer:
Step-by-step explanation:
Transformed of the function has been given as,
f(x) =
=
Parent function of this transformed function =
Vertical stretch = By a factor of
Horizontal shift = 3 units to the left
Vertical shift = 3 units up
Now we can summarize these transformations as,
1). Parent function g(x) = has been vertically stretched by a factor of
2). Followed by the translations of 3 units left and 3 units up.