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How do I know if a function is quadratic, exponential, or logarithmic?

How do I know if a function is quadratic, exponential, or logarithmic?-example-1

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Answer:

Exponential function

Step-by-step explanation:

Linear - the output of linear function are always directly proportional to the input. it forms a straight line in the graph.


f(x)\propto x

The output increases at a constant rate.

Quadratic - the quadratic function forms a 'U' or 'n' shaped graph.

the output rises almost exponentially then reduces at some point.

That means the value of f(x) increases then later decrease on the table.

Exponential - The value of exponential function increases shapely or decreases sharply.

f(x) increases sharpely as x increases, OR it decreases sharply as x increases.

Logarithmic - it is just like an inverse of the exponential function, the value of f(x) increases very slowly as x increase, Or it decreases slowly as the value of x increases.

From the given data;

The value of f(x) on the table increases sharply with an increase in x,

So, it is an Exponential function

User Pravin Kamble
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