Maths-

General

Easy

Question

# Create a flow chart to show the process to determine whether a given data set represents a function that is linear , quadratic , exponential or none of these.

Hint:

### 1. When the difference between 2 consecutive output values (y values) for a given constant change in the input values (x values) is constant. i.e. y(n)- y(n-1) is constant for any value of n, the function is known as a linear function.

2. When the difference between 2 consecutive differences for output values (y values) for a given constant change in the input values (x values) is constant. i.e. dy(n)- dy(n-1) is constant for any value of n, the function is known as a quadratic function.

3. When the ratio between 2 consecutive output values (y values) for a given constant change in the input values (x values) is constant i.e. is constant for any value of n, the function is known as an exponential function.

## The correct answer is: Refer the adjacent diagram.

### Step-by-step solution:-

We will plot all the steps involved in finding whether a function is linear or quadratic or exponential in a flow chart as shown in the adjacent diagram.

Final Answer:-

∴ Refer the adjacent diagram.

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