Function assigns the value of one set to another. The whole number that best approximates the value of x is 10.
A function assigns the value of each element of one set to the other specific element of another set.
As it is given that the point √x is plotted on the number line. therefore, the value of x is in square root. Now, in order to get a whole number out of this point function, we need the value of x should be such that when it goes through the function the outcome must be a whole number. therefore, let's substitute the value of x in the function,
A.) 100
[tex]\sqrt{x} = \sqrt{100} = 10[/tex]
B.) 102
[tex]\sqrt{x} = \sqrt{102} = 10.099[/tex]
C.) 103
[tex]\sqrt{x} = \sqrt{103} = 10.149[/tex]
D.) 104
[tex]\sqrt{x} = \sqrt{104} = 10.198[/tex]
As we can see, when the value of x is 100, only then the outcome of the point function is a whole number.
Hence, the whole number that best approximates the value of x is 10.
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