Explain in a easy worded paragraph the process of finding the range of a continuous linear function with a domain of {x|a≤x≤b}

Question

{
x
|
a
≤
x
≤
b
}
where a and b are real numbers.(2 points)
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Answer 1

To find the range of a continuous linear function when the values of x are between a and b (inclusive), follow these simple steps:

• Identify the function: Look at the linear function, which usually looks like f(x) = mx + c, where m is the slope and c is the y-intercept.
• Calculate the endpoints: Plug the values of a and b into the function to find the corresponding f(a) and f(b).
• Determine the range: The range will be from the smaller of f(a) or f(b) to the larger of the two results.

So, you’re looking for the lowest and highest y-values that the function takes when x is between a and b!