The absolute value function is increasing on the interval (-∞, 1).
Here we have the absolute value function:
y = -|x - 1| + 4
Because of the negative sign, it will be increasing between negative infinity and the vertex. Where the vertex is at the x-value such that the argument of the absolute value part is zero, so we can see that the vertex is when:
x - 1= 0
x = 1
Then the function is increasing in the interval (-∞, 1).
If you want to learn more about absolute value functions:
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