asked 145k views
2 votes
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

1 Answer

2 votes

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

answered
User Pravin Kamble
by
8.9k points

No related questions found

Welcome to Qamnty — a place to ask, share, and grow together. Join our community and get real answers from real people.