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Evaluating a Function
You evaluate a function by "plugging in a number".
For example, to evaluate the function f(x) = 3x2+ x -5at x = 10, you plug in a 10 everywhere you see an x: f(10) = 3(10)2 + 10 - 5 =3(100) + 10 - 5 =300 + 10 - 5 =305
To evaluate f at x = z + 1, you would write
f(z + 1)= 3(z + 1) 2 + (z + 1) - 5The thing to be careful of is parentheses. Notice how in the first term, the entire expression (z + 1) is squared? If you wrote
f(z + 1) = 3z + 1 + (z + 1) - 5 (wrong!)
it would be wrong. You need the whole expression squared and multiplied by 3, and the parentheses are needed to make it happen!
is that formula of sample and population for mean deviation is the same?
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