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May 23, 2015

May 23, 2015

Posted by **John** on Sunday, September 12, 2010 at 6:28pm.

20/1+x^2

- Math -
**MathMate**, Sunday, September 12, 2010 at 6:54pmI assume you mean

f(x)=20/(1+x²)

Parentheses are important when posting mathematical formulas because with multiplication/division taking precedence over addition and subtraction, the posted function would not be very meaningful.

The domain of a function means the values that x can take up, which in this case, is ℝ (= all real numbers).

The range of a function is the range of values f(x) can take up for any possible values of x.

In this case, the maximum is when x=0, which gives f(0)=20.

The minimum is lim x->∞ f(x)=0.

Therefore the range of the given function is

]0,20], or altrenatively, (0,20] in interval notation.