Question

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

• (-1,-4),(0,0), (1.4),(2,1)

(-1,-1),(0, 0), (1, 1), (2,8)

• 1-1,2), (0, 1), (1, 2), (2, 4)

(-1, 1), (0, 0), (1, 1), (2, 4)

Answer 1

The correct option is (1,2), (0, 1), (1, 2), (2, 4).

Step-by-step explanation:

Consider the provided ordered pairs.

The exponential function is in the form of
`f(x)=ab^x`

Where, a is the initial amount
`a\\eq 0` and b is the rate of change b>0,
`b\\eq 1`

The graph of each exponential function passes through the point (0, a),

`f(0)=a\cdot b^0 = a` and
`a\\eq 0`

Therefore, Option 1 and 2 and 4 are false.

Hence, the correct option is (1,2), (0, 1), (1, 2), (2, 4).