Answer:
Option 4
(0, 1), (1, 3), (2, 9), (3, 27) set of ordered pairs could be generated by an exponential function .
Step-by-step explanation:
Given : Set of ordered pairs could be generated by an exponential function
(0, 0), (1, 1), (2, 8), (3, 27)
(0, 1), (1, 2), (2, 5), (3, 10)
(0, 0), (1, 3), (2, 6), (3, 9)
(0, 1), (1, 3), (2, 9), (3, 27)
To find : Which set?
Solution :
The general form of an exponential function is
where,
a is the initial amount
b is the rate of change
The graph of each exponential function passes through the point (0,a),
As
and
Therefore, Option 1 and 3 are false.
Now, in Option 2 and 4 first point is (0,1)
i.e,
Then, The exponential function form is
In Option 2,
Point (1,2)
Point (2,5)
which is not correct.
Option 2 is false.
Now, In Option 4
Point (1,3)
Point (2,9)
satisfying
Point (3,27)
satisfying
Option 4 is true.
Therefore, The exponential form is
Hence, option 4 is correct.
(0, 1), (1, 3), (2, 9), (3, 27) set of ordered pairs could be generated by an exponential function .