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.

hintHint:

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. fraction numerator straight y left parenthesis straight n right parenthesis over denominator straight y left parenthesis straight n minus 1 right parenthesis end fraction 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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