Final answer:
Without the actual piecewise function provided, we cannot determine its equivalent absolute value function. Absolute value functions are related to the distance from zero, while piecewise functions have different expressions for different intervals.
Step-by-step explanation:
The question Which absolute value function is equivalent to the piecewise function shown? indicates that there is a piecewise function provided, and we need to find an equivalent absolute value function.
However, without the actual piecewise function, we cannot determine the equivalent absolute value function.
For a piecewise function to be equivalent to an absolute value function, the piecewise function would need to have two linear pieces, one with a positive slope for x-values greater than some point on the x-axis (often 0), and one with a negative slope for x-values less than that point, mirroring each other across the vertical line at that point.
For the other parts of the provided question, we cannot give accurate answers because the piecewise function is not given.
The student might have either omitted the piecewise function or provided the information incorrectly. Without the actual functions or statements, providing specific answers or guidance is not possible.
In general, when dealing with piecewise functions and absolute value functions, remember that an absolute value function captures the distance of a number from zero on the number line, while a piecewise function defines different expressions for different intervals of the domain.