What is the domain and range of -|x?
The correct Answer is:Domain = R , Range = ]∞,0] Step by step video, text & image solution for Find the domain and range of f(x)=-|x|. For example, if we are given a function F: X → Y, such that F(x) = y + 1, and X = {1, 2, 3, 4, 5} and Y = {1, 2, 3, 4, 5, 6}.Domain is all the values of X on the graph. So, you need to look how far to the left and right the graph will go. There can be very large values for X to the right. Range is all the values of Y on the graph.We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
What is the range of f(x)=|x?
Common functions and their ranges 1. The range of f(x) is [0,∞), which is all non-negative real numbers. Therefore, the range of the function f ( x ) = x + ∣ x ∣ f(x) = x + |x| f(x)=x+∣x∣ for the domain of all real numbers is [ 0 , ∞ ) [0, infty) [0,∞).The domain of the function f(x)=∣x−5∣+10 is all real numbers, represented as (−∞,∞), while the range is all values starting from 10 and extending to positive infinity, represented as [10,∞).Summary: A function f defined by f (x) = √ (x – 1) is given. We have found that the domain of f is [1, ∞) and range of f is the set of all real numbers greater than or equal to 0 i.Domain : domain is the set of input values for which function is defined or real. Therefore , Domain of f(x) = ⌈2x⌉ – 1 is {x| x is a real number}.Thus, the domain of f(x) = x2 is all x-values. Then, from looking at the graph or testing a few x-values, we can see that any x-value we plug in will result in a positive y-value. Thus, the range of f(x) = x2 is all positive y-values. Notice in the examples above that we described the domain and range using words.
What is the domain of the function f(x)=|x?
For example, in the toolkit functions, we introduced the absolute value function (f(x)=|x|). With a domain of all real numbers and a range of values greater than or equal to 0, absolute value can be defined as the magnitude, or modulus, of a real number value regardless of sign. The range of f(x)=|x−2| is (0,∞).Domain and Range of Modulus Function The range of the modulus function is defined as the collection of non-negative real quantities and is expressed as [0,∞) whereas the domain of the function is R, where R relates to the collection of all positive real numbers. Hence the domain of |x| is R and its range is [0, ∞).Domain and Range of Modulus Function Range = [0,∞); where the range of modulus function is the upper half of the real numbers (R+), i.
What is the domain and range of f(x)=| 2x 1 |- 3?
The function f(x) = |2x – 1| – 3 is defined for all real numbers since there are no restrictions on the input variable x. Therefore, the domain is (-∞, ∞), representing all real numbers. Range: In Case 1, the function f(x) = 2x – 4 represents a linear function with a slope of 2. Range is the set of possible Y values in a function. To find the domain, set the denominator equal to zero and then solve for X. Whatever X is is what CANNOT be in the domain. For example: 1/x, the domain is all real numbers except 0 because the denominator cannot be equal to zero.The domain of the function f(x)=2∣x−1∣+3 is all real numbers, meaning there are no restrictions on the values of x that can be input.The domain of the function f ( x ) = e x is all real numbers, because you can raise to any power. The range of the function f ( x ) = e x is all positive real numbers.The domain of a function can be determined by listing the input values of a set of ordered pairs. The domain of a function can also be determined by identifying the input values of a function written as an equation.
How to find range and domain of modulus function?
The range of the modulus function is defined as the collection of non-negative real quantities and is expressed as [0,∞) whereas the domain of the function is R, where R relates to the collection of all positive real numbers. Hence the domain of |x| is R and its range is [0, ∞).Generally, we can represent the absolute value function as, f(x) = a |x – h| + k, where a represents how far the graph stretches vertically, h represents the horizontal shift and k represents the vertical shift from the graph of f(x) = |x|.The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign. For example, the absolute value of 5 is 5, and the absolute value of −5 is also 5.