Given the table below, determine if the data represents a linear or an exponential function and find a possible formula for the function.

Option B. y = 2x

Step-by-step explanation:

The given table in the question is

x      0       1       2       3      4      

f(x)   0       2      4       6      8

As we know if the function is exponential or in the form of then for x  = 0 value of this exponential function will be f(0) = 1 but as per table f(0) = 0, so the given function is not an exponential function.

Therefore the given function is a linear function.

Linear function is always in the form of y = mx + c

Now f(0) = m×0 + c = 0

c = 0

f(1) = m×1 = 2

m = 2

Now we replace the values of m and c in y = mx + c

The equation will be y = 2x.

Option B. y = 2x is the answer.

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step-by-step explanation: