- #1
azizlwl
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For each real number x, let f(x) be the minimum of the numbers 4x+1, x+2, and -2x+4. What is the maximum value of f(x)?
Is this a homework problem?azizlwl said:For each real number x, let f(x) be the minimum of the numbers 4x+1, x+2, and -2x+4. What is the maximum value of f(x)?
Mark44 said:Is this a homework problem?
Bacle2 said:Is there a range for these numbers, i.e., is x any real number, integer, subset of these
or other?
The function f(x) is defined as the minimum value among the set of numbers 4x+1, for any real number x.
To find the minimum value of f(x), you simply plug in different values of x into the expression 4x+1 and determine the smallest result.
No, f(x) cannot have a maximum value as it is defined as the minimum value among a set of numbers. However, it can approach infinity as x approaches negative infinity.
The domain of f(x) is all real numbers, as there are no restrictions on the values of x in the expression 4x+1.
Yes, f(x) is a continuous function as it is defined for all real numbers and there are no breaks or gaps in its graph.