Question

17. Does the table represent an exponential function? (1 point)

Answer 1

B. Yes it's an exponential function because the y is increasing rapidly without a constant rate of change

Answer 2

Answer:  Yes, the given table represents an exponential function $y=e^x.$

The correct option is (B) Yes.

Step-by-step explanation:  We are given to check whether the following table represents an exponential function or not :

x |       1      |       2      |       3      |      4      |

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y |       3      |       9      |      27    |      81      |

We see that

$3=3^1,~~~9=3^2,~~~27=3^3,~~~81=3^4,~~~~~etc.$

Since the values of y are all powers of 3, so let us consider that the exponential function is written as :

$y=3^k.$

We have

If x = 1, then $y=3^1=3,$

If x = 2, then $y=3^2=9,$

If x = 3, then $y=3^3=27,$

IIf x = 4, then $y=3^4=81,$

.     .     .

.     .      .

Thus, the table represent an exponential function $y=e^x.$

Option (B) is CORRECT.