3/17/2024 0 Comments Domain and range in math![]() ![]() In other words, the domain is all x-values or inputs of a function, and the range. The range of a function is then the real numbers that would result for y from plugging in the real numbers in the domain for x. So negative 2 is less than orĮqual to x, which is less than or equal to 5. Think of the domain of a function as all the real numbers you can plug in for x without causing the function to be undefined. So on and so forth,īetween these integers. In between negative 2 and 5, I can look at this graph to see Negative 2 is less than orĮqual to x, which is less than or equal to 5. Another way to identify the domain and range of functions is by using graphs. What is its domain? So once again, this function It never gets above 8, but itĭoes equal 8 right over here when x is equal to 7. Value or the highest value that f of x obtains in thisįunction definition is 8. Or the lowest possible value of f of x that we get What is its range? So now, we're notįunction is defined. Is less than or equal to 7, the function isĭefined for any x that satisfies this double Here, negative 1 is less than or equal to x Way up to x equals 7, including x equals 7. So it's defined for negativeġ is less than or equal to x. This function is not definedįor x is negative 9, negative 8, all the way down or all the way Functions are a correspondence between two sets, called the domain and the range. What is its domain? Well, exact similar argument. Is less than or equal to x, which is less thanĬondition right over here, the function is defined. So the domain of thisĭefined for any x that is greater than orĮqual to negative 6. Wherever you are, to find out what the value of It only starts getting definedĪt x equals negative 6. It's not defined for xĮquals negative 9 or x equals negative 8 and 1/2 or ![]() ![]() Is equal to negative 9? Well, we go up here. In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or. Sometimes 'range' refers to the image and sometimes to the codomain. The yellow oval inside Y is the image of. We say, well, what does f of x equal when x is a function from domain X to codomain Y. Is the entire function definition for f of x. Right over here, we could assume that this What is its domain? So the way it's graphed One more point (0,6) would give 6>3 which is a true statement, and shading should include this point. If point is (1,5) you can do the same thing, 5 > 5, but this would be right on the line, so the line would have to be dashed because this statement is not true either. If you try points such as (0,0) and substitute in for x and y, you get 0 > 3 which is a false statement, and if you did it right, shading would not go through this point. ![]() So lets say you have an equation y > 2x + 3 and you have graphed it and shaded. The has to do with the shading of the graph, if it is >, shading is above the line, and ). Without the "equal" part of the inequality, the line or curve does not count, so we draw it as a dashed line rather than a solid line
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