Function f is an exponential function.
x −4 −2 0 2 4
f(x) 3/16 3/4 3 12 48
by what factor does the output value increase as each input value increases by 1? enter your answer in the box.

The output value increases by a factor of 2 as each input value increases by 1.

Step-by-step explanation:

Given:

Function is an exponential function.

The factor by which increases with increase in is same as finding the ratio of two consecutive output values.

When increases from -4 to -2, increases from . Therefore, the factor by which the output changes is:

The increase in input value for increasing output value by a factor 4 is given as:

So, with the increase of input value by 2, the output value increases by a factor of 4.

Therefore, with the increase of input value by 1, the output values increases by a factor

Thus, the output value increases by a factor of 2 as each input value increases by 1.

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step-by-step explanation: