Graphing Piecewise-Defined Functions Practice

The options are the same except for the inclusion (or exclusion) of the point at $x=0$.

According to the formula, ‍$x=0$ should be included in the second case, i.e. the one graphed on ‍$0\le x\le 7$.

The correct graph is ‍B.

The options are similar. However, notice that the second case ends at different ‍$x$-values.

The second case should be graphed on the interval ‍$-3\le x\le 8$.

The correct graph is ‍A.

The options are similar. However, notice that the ‍$x$-value where the function changes from the first case to the second is different.

The ‍$x$-value where the function changes from the first case to the second should be ‍$x=2$.

The correct graph is ‍B.

The options are similar. However, the case for ‍$-7\le x \le5$ is different.

We can see that by noting that the first case in graph A begins at ‍(-7, 8)and the first case in graph ‍B begins at (-7, 9).

The rule for the first case is ‍$y=2-x$. When ‍$x=-7$, the ‍$y$-value should be ‍9.

The correct graph is ‍B.