Question

Function f(x) what statements are true?

Answer 1

`D` #``f# is decreasing on the interval (2,3)

Explanation:

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`A` is not true. The image set of `f` is all values of `f` in the domain `1 < x < 4`. As you see, `y` varies from `-2` to `2` in that domain.

`B` is not true because at `x=4` there is a hole in the function which means at `x=4` the function is undefined. Therefore, `4` can not be included in the domain.

`C` is not true because you can see that the function `f=y` goes from `-2` to `2` and back down to `1` in the interval (1,3), i.e. it increases and decreases in that interval.

`E` is not true because `f` is not one-to-one. In the part of the graph that is above the `x`-axis you have the same value of `y` for `2` or `3` values of `x` depending on the specific values of `x`.