Math

posted by .

What is range of this rational function:

20/1+x^2

• Math -

I 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.

Similar Questions

1. calcius

Determine whether the relation represents a function. If it is a function, state the domain and range. {(-2, 1), (-1, -2), (0, -3), (1, -2), (3, 6)} a. function domain: {-2, -1, 0, 1, 3} range: {1, -2, -3, 6} b. function domain: {1, …
2. Gr.11 - Rational functions graphing.

1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. …
3. precal

Create a rational function that has a polynomial function that is similar. The rational function must have a vertical asymptote. thanks for any help.
4. Math

For the given functions, write the rational function, r(x) = [f(x-h)-f(x)]/h and simplify: a. F(x) = 2x+3 b. F(x) = 1/(x+1) c. F(x) = x^2 --- Just need to know that the rational function is and maybe I can do the questions. Thanks.
5. Algebra

23. The ___ axis represents the independent variable. X?
6. math

Suppose you have a rational function that its denominator is (X-c) and numerator can be any function. Suppose you need to find the limit of this rational function given as x goes to value c. Can you always say that for this problem …