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General
Easy

Question

What is the first step in determining whether a table shows a linear , quadratic or exponential function ?

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 y left parenthesis n right parenthesis over denominator y left parenthesis 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: Finding the relation between 2 consecutive y values (output values) will be the first step in determining whether a table shows a linear, quadratic or exponential function.


    Step-by-step solution:-
    The first step in determining whether a table shows a linear, quadratic or exponential function is to find the relation (difference and ratio) between 2 consecutive output values of the given function.
    On the basis of the relation between output values for a given constant change in the input values determine the type of a function.
    Final Answer:-
    ∴ Finding the relation between 2 consecutive y values (output values) will be the first step in determining whether a table shows a linear, quadratic or exponential function.

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