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Y=10x 100 domain and range

User Zuo
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Final answer:

The student's question pertains to the domain and range of a linear function f(x) = 10x within a specific interval. The domain is the set of x-values between 0 and 20, and the range is the corresponding set of y-values, from 0 to 200, inclusive.

Step-by-step explanation:

The question seems to involve the domain and range of a function, specifically a linear function of the form f(x) = 10x within the given interval of 0≤x≤20. The domain in this context is the set of all possible x-values that can be input into the function, which has been provided as x-values ranging from 0 to 20. To graph this function, you would label the graph with f(x) on the vertical y-axis and x on the horizontal x-axis. You would then scale the axes accordingly, with the x-axis ranging from 0 to 20 and the y-axis scaled based on the maximum y-value that corresponds to x = 20 in this function. The maximum y-value in this case would be f(20) = 10×20 = 200, so the y-axis should at least go up to 200. Since the function is linear and there are no restrictions on the y-values, the range of the function would be the set of all y-values that result from plugging the domain values into the function.

In summary, the domain is [0, 20], and the range depends on the output values when x is within that domain. Given the linear nature of the function, the range is simply the set of y-values you get from f(x) = 10x, which are real numbers from 0 to 200, inclusive.

User Shrey Gupta
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