The true statements are:
the y-intercept is y = 4.
All the other are false.
Which statements are true about this function?
Here we have the absolute value function f(x)= |x - 4|, let's find the characteristics.
The vertex is when the argument becomes zero, this happens at x = 4.
f(4) = |4 - 4| = 0
So the vertex is at (4, 0), meaning that:
The range is y ≥ 0
In x > 4 the graph increases.
in x < 4 the graph decreases.
To find the y-intercept we need to evaluate in x = 0
f(0) = |0 - 4| = 4
So the true statements are:
2