Question

Does the table represent a exponential function x 1 2 3 4 y -1 -8 -27 -64

Answer 1

Answer:

No, the given function is not an exponential function.

Step-by-step explanation:

The exponential function is defined as

$f(x)=ab^x$                   .... (1)

Where a is initial value and b is growth factor.

From the given table it is noticed that the value of y decreased as the value of x increased by 1. The function is in the form of

$f(x)=-x^3$                  .... (2)

$f(1)=-(1)^3=-1$

$f(2)=-(2)^3=-8$

$f(3)=-(3)^3=-27$

$f(4)=-(4)^3=-64$

The function (1) and (2) are not the same type of function.

The table represents the polynomial.

Therefore the required answer is no. The given function is not an exponential function.