If f(x) is a function defined only for 0 is less than or equal to x is less than or equal to 1, and f(x) = ax+b for constants a and b where a < 0, then what is the range of f in terms of a and b? Express your answer in interval notation

Guest Mar 13, 2017

x is between 0 and 1.

Since a < 0,

The biggest possible f(x) will occur when x = 0

f(0) = b


The smallest possible f(x) will occur when x = 1

f(1) = a + b


So f is between a+b and b.


[a+b, b]

hectictar  Mar 13, 2017

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