Select the correct answer.
which function is represented by this graph?

Option B will be the correct one.

Step-by-step explanation:

See the attached graph.

Here, the graph of f(x) = |x - 7| - 3 is plotted.

Now, from the definition of the absolute value function

f(x) = x - 7 - 3 = x - 10, for x ≥ 7   (1) and

f(x) = - x + 7 - 3 = - x + 4, for x < 7 (2)

Now, for x ≥ 7, the plotted graph passes through the points (7,-3) and (10, 0) and equation (1) satisfies the points.

Again, for x < 7, the plotted graph passes through the points (4,0) and (0,4) and equation (2) satisfies the points.

Hence, option B will be correct one.