Maths-
General
Easy
Question
What is the first step in determining whether a table shows a linear , quadratic or exponential function ?
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: 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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