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The table below gives input and output values for the function h(x) = a x . Input Output -2 .0625 -1 .25 0 1 1 4 2 What is the value of a 2?

Respuesta :

Answer:

h(2) = 16

Step-by-step explanation:

The table values are consistent with the definition ...

... h(x) = 4^x

Then ...

... h(2) = 4^2 = 16

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How do we know?

When x increases by 1 unit, h(x) increases by a factor of 4, so we know the base of the exponential term is 4. When x=0, h(0) = 1, so we know the multiplier of the exponential term is 1.