Domain And Range Of A Function Open Circle
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Put any number into the sin function in your calculator.
Domain and range of a function open circle. The range is the set of possible output values which are shown on the y axis. Find the domain and range of f x 2x 3 x. Write the domain and range of f using interval notation assuming the problem is in graph form.
Answer by josgarithmetic 34799 show source. The domain of y sin x is all values of x since there are no restrictions on the values for x. The domain gives the maximum and minimum values for the x coordinates of the circle while the range gives the maximum and minimum values for the y coordinates of the circle.
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 latex x latex axis. The domain is infty infty and the range is also infty infty. There are no restrictions on the domain as any real number may be cubed and then subtracted from the result.
Any number should work and will give you a final answer between 1 and 1 from the calculator experiment and from observing the curve we can see the range is y betweeen 1 and 1 we could write this as 1 y 1. If you use x 2 2 y 4 2 25 the centre is 2 4 radius is 5. Begingroup so anytime there is a portion of the graph with open circles it is not included in the domain correct.
Keep in mind that if the graph continues beyond the portion of the graph we can see the domain and range may be greater than the visible values. The line and function to the left has a domain and range of all real numbers because as the arrows indicate the graph goes on forever both negatively and positively. All values of points on the circle fall within the domain and range of the circle.
The formula for the range of a circle is y b r y b r. The range is the values for y so you do the same to the y coordinate. In circle there is no such thing to describe as domain and range.
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