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Is this set of values a function? Yes or No

Is this set of values a function? Yes or No-example-1
User Dsfgsho
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1 Answer

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In math, a function will relate every input value to the output values in a manner that there will be a relationship between the x values to the y values.

In this case;

x y

0 3

2 7

4 11

To know if this is a function, find the relationship between x values and y values.

First find the slope / gradient assuming the values will result to a linear relationship {the first test]

So, slope m = change in y values / change in x values

m= 7-3/2-0 = 4/2 = 2

The gradient is 2, now lets find the equation

2= y-3 / x-0

2{x-0} = y- 3

2x= y- 3

2x + 3 = y

y= 2x + 3 ------the equation for the relationship which means;

For every value of y, you take the value of x , multiply it by 2 then add 3.

For example;

If x is 6, y will be 2*6 + 3 = 12 + 3= 15

This shows that there is a relationship between the values of x and y represented by the function;

f{x} = 2x + 3

Answer

Yes.

User Zaider
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