Question

Write the function that would make all four statements true?

The domain of the function is x ≤ 3.
The range of the function is y ≥ 0.
The x-intercept of the function is 3.
When x decreases, the function increases.


Function :

Answer 1

domain of x less than or equal to 3, and range y greater than or equal to zero..

the possible values for x are 3 or larger, resulting in y values bigger or equal to zero

Answer 2

those two restrict it to this shaded area so far

Answer 3

When x decreases, the function increases.
--when x goes smaller, the y value gets larger, so the thing is becoming smaller as you move to the +x direction, something like