From the below graph option B is correct.
What is graph function?
The graph of a function f is the set of all points in the plane of the form (x, f(x)).
It is also define as the graph of f to be the graph of the equation y = f(x).
Given,
Three different function for h(x)
[tex]\frac{1}{4}x -4 , x \leq 0\\ \\\frac{1}{3} x -3, 0 < x \leq 3\\\\\frac{1}{2} , x\geq 4[/tex]
From the above function,
x ≤ 0, the slope of the graph of h(x) is [tex]\frac{1}{4}[/tex]
0 < x ≤ 3, the slope of the graph of h(x) is [tex]\frac{1}{3}[/tex]
x ≥ 4, the slope of the graph of h(x) is [tex]\frac{1}{2}[/tex]
As we progress from left to right,
The slope of h(x) increases and the slope of the graph becomes steeper.
Therefore,
The graph starts at (4,0) and goes to the right.
Graph is missing in this question, So you might be referring to the one attached.
Learn more about function of graph here:https://brainly.com/question/27757761
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