Question

Which set of ordered pairs could be generated by an exponential function?

Answer 1

Answer:

(0, 1), (1, 3), (2, 9), (3, 27)

Step-by-step explanation:

We need to find which ordered pair represents exponential function

(0, 0), (1, 1), (2, 8), (3, 27)

When x=2 , y = 2^3= 8

x=3, y= 3^3 = 27

x=0, y cannot be 0 in an exponential function because anything^0 is 1

(0, 1), (1, 2), (2, 5), (3, 10)

It does not represents exponential function because y values does not increasing exponentially

(0, 0), (1, 3), (2, 6), (3, 9)

It does not represents exponential function because y values are increasing by 3

(0, 1), (1, 3), (2, 9), (3, 27)

When x= 0 , y = 3^0=1

x= 1 , y = 3^1=3

x= 2 , y = 3^2=9

x= 3 , y = 3^3=27

The values of y are increasing exponentially. So it represents exponential function

Answer 2

(0, 1), (1, 3), (2, 9), (3, 27)