how to find domain and range of a function without graph

how to find domain and range of a function without graph To find domain of a function f x find for what values of x f x will be undefined not real To find range the general method is to find x in terms of f x and then find values of f x for which x is not defined

The domain of a function is the set of all possible inputs for the function For example the domain of f x x is all real numbers and the domain of g x 1 x is all real numbers except for x 0 We can also define special functions whose domains are more limited Another way to identify the domain and range of functions is by using graphs Because the domain refers to the set of possible input values the domain of a graph consists of all the input values shown on the x axis The range is the set of possible output values which are shown on the y axis

how to find domain and range of a function without graph

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how to find domain and range of a function without graph
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Multivariable Function Graphing Mathematics Stack Exchange
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Find the domain and range of the function f x sqrt x 2 x 2 9 without using a graph Solution In the numerator top of this fraction we have a square root To make sure the values under the square root are non negative we can only choose x To find the domain of a function just plug the x values into the quadratic formula to get the y output To find the range of a function first find the x value and y value of the vertex using the formula x b 2a Then plug that answer into the function to

How to Find Domain and Range of Function To find the domain of a function y f x we need to look for set of all possible values of x that does not make the function undefined The common examples include dividing by 0 taking Finding the domain and the range of a function that is given graphically Created by Sal Khan

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The domain and range of a function is all the possible values of the independent variable x for which y is defined The range of a function is all the possible values of the dependent variable y When looking at a graph the domain is all the values of the graph from left to right The range is all the values of the graph from down to up The domain is all x values or inputs of a function and the range is all y values or outputs of a function

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how to find domain and range of a function without graph - Finding the domain and the range of a function that is given graphically Created by Sal Khan