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In an exponential table, the input values usually increase by 1, while the output values are multiplied by...

In an exponential table, the input values usually increase by 1, while the output values are multiplied by a _________ over each equal interval.
The equation form f(x) = a(b)^x is used to write an _________ function from a table.
In the equation f(x) = a(b)^x, the value of a represents the _________ of the function.
A logarithmic table often shows input values multiplied by the same factor while the output values increase by the same _________.
If the input values are 1, 5, 25, 125 and the output values are 0, 1, 2, 3, then the equation is g(x) = log _________ (x).

Answer

  1. In an exponential table, the input values usually increase by 1, while the output values are multiplied by a constant ratio over each equal interval.

  2. The equation form f(x) = a(b)^x is used to write an exponential function from a table.

  3. In the equation f(x) = a(b)^x, the value of a represents the initial value of the function.

  4. A logarithmic table often shows input values multiplied by the same factor while the output values increase by the same amount.

  5. If the input values are 1, 5, 25, 125 and the output values are 0, 1, 2, 3, then the equation is g(x) = log 5 (x).

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