The possible functions for f and g are f(x) = and g(x) =
An exponential function is a mathematical function of the following form: f ( x ) = where x is a variable, and p is a constant called the base of the function. The most commonly encountered exponential function base is the transcendental number e.
Analysis:
If for every value of x being positive and y is a positive whole number and for every x being negative y is a positive fraction, then that exponential function has a whole number base, Other wise it would have a fractional base. From the above explanation, f has (1,3) (positive x and whole number y) and (-1, 1/3) (negative x and positive fraction y). so therefore f has a whole number base and g has a fraction base.
Therefore f(x) = and g(x) =
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Answer:
The scale factor is 3.
Step-by-step explanation:
Let the origin O(0,0) is the reference point and the coordinates of the point A are given by (3,-6).
Therefore, the distance OA is given by units.
Again, the coordinates of point A' are (1,-2).
Therefore, the distance OA' is given by units.
Hence, the scale factor is . (Answer)