WebDomain and Range of Continuous Functions. In early algebra classes and in calculus classes it is much more common to work with (mostly) continuous functions. While there is a formal definition for a continuous function, it … WebJul 18, 2024 · The domain of a function is all possible values of x that can be used as input to the function, which will result in a real number as the output. The range of a function …
Domain and range - Math
WebMay 17, 2024 · The domain is all x-values or inputs of a function and the range is all y-values or outputs of a function. 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. WebContinuous and Discontinuous Functions by M. Bourne This section is related to the earlier section on Domain and Range of a Function. There are some functions that are not defined for certain values of x . Continuous Functions Consider the graph of f(x) = x 3 − 6x 2 − x + 30: 1 2 3 4 5 6 7 -1 -2 -3 -4 30 60 -30 -60 -90 -120 x y flying academy usa
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WebFeb 8, 2024 · 5 Answers Sorted by: 7 Not necessarily. The domain of a function tells you over what values the function f ( x) exists, not where it is continuous. Take the piecewise function: f ( x) = { 1 x < 0 2 x ≥ 0 This function is defined for all x ∈ R, but is not continuous at x = 0. WebEach graph represents a relation. Determine if the relation is a function. Then find the domain and range. 7) x y-8-6-4-22468-8-6-4-2 2 4 6 8 The relation is not a function. Domain: x = -2 Range: -6 < y £ 4 8) x y-8-6-4-22468-8-6-4-2 2 4 6 8 The relation is not a function. Domain: x £ 2 Range: All real numbers 9) x y-8-6-4-22468-8-6-4-2 2 4 6 8 WebSep 16, 2015 · 2 Answers Sorted by: 2 Consider $$ f: \mathbb {N} \to \mathbb {R} \\ f (k) = 1 / k $$ The domain consists of the positive integers, thus discrete. The range consists of the real numbers, which are continuous. The image $f (\mathbb {N})$ is a set of discrete real numbers. Share Cite Follow answered Sep 16, 2015 at 13:48 mvw 34.1k 2 31 63 green legacy in ethiopia pdf