Question

PLS

Write the equation of the piecewise function that is represented by its graph.

IS IT A, B, C, OR D

Answer 1

9514 1404 393

Answer:

a) domain bounds are -1 ≤ x ≤ 1, x > 1

Explanation:

In considering the definition of any piecewise function, the domain descriptions in the function definition must match the pieces shown in the graph.

Here, the right segment has no upper bound, so x > 1 is an appropriate description of its domain.

The left segment has the points at x=-1 and x=1 included, so the appropriate domain description for that is -1 ≤ x ≤ 1.

The one answer choice that combines these domain descriptions is ...

`\displaystyle f(x)=\begin{cases}x^2,&\text{if }-\!1\le x\le1\\√(x),&\text{if }x>1\end{cases}`