What is the domain of the graph y = sqrt(4 – x^2)?

Now select a test point, let it be x =0. Then y = sqrt (4 – 0^2) = 2, so the function is defined on [-2, 2 [. Thus, the graph of y= sqrt (4 – x^2) is a semicircle with radius 2 and domain [-2, 2]. Hopefully this helps! The domain has already been determined to be -2lt=xlt=2.

What is the domain of the square root function f(x)?

For f (x) to have real values, the radicand (expression under the radical) of the square root function must be positive or equal to 0. Hence. x – 1 ≥ 0. The solution set to the above inequality is the domain of f (x) and is given by: x ≥ 1. or in interval form [1 , +∞)

What is the domain of |-2x – 6|?

Because of the absolute value, the expression |-2 x – 6| is greater than or equal to 0 for all real numbers. Hence the domain of the above function is given by: find the domain of a function and mathematics tutorials and problems .

What is the domain of the given function?

The domain can also be given explicitly. f (x) can take real values if the argument of log 3 (x – 1) which is x – 1 is positive. Hence the condition on the argument The argument of log 2 (x 2 + 5) which is x 2 + 5 is always greater than zero and therefore positive. Hence the domain of the given function is given by the interval:

What is domain and range?

What is domain and range? The domain of a function, D D, is most commonly defined as the set of values for which a function is defined. For example, a function f (x) f ( x) that is defined for real values x x in R R has domain R R, and is sometimes said to be “a function over the reals.”.

What is the range of a function?

The values taken by the function are collectively referred to as the range. For example, the function x2 x 2 takes the reals (domain) to the non-negative reals (range). The sine function takes the reals (domain) to the closed interval [−1,1] [ − 1, 1] (range).

How do I find the domain of a function using the calculator?

Domain of a Function Calculator. Step 1: Enter the Function you want to domain into the editor. The domain calculator allows you to take a simple or complex function and find the domain in both interval and set notation instantly. Step 2: Click the blue arrow to submit and see the result!

How do you find the domain of a function?

Hence the inequality The domain of the given function is given by the interval (-∞ , -1-√2] ∪ [-1+ √2 , + ∞). The domain of this function is the set of all values of x such that (2x – 1)/ (x + 3) ≥ 0 which is an inequality to solve.