Question

For the graph, which are possible functions f and g?

Answer 1

The possible functions for f and g are f(x) = $3^{x}$ and g(x) = $(\frac{1}{3} )^{x}$

What is an exponential function?

An exponential function is a mathematical function of the following form: f ( x ) = $p^{x}$ 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) = $3^{x}$ and g(x) = $(\frac{1}{3} )^{x}$

Learn more about exponential functions: brainly.com/question/2436547

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