To evaluate , you'd start by rewriting this as
and your first step of evaluation is to evaluate
.
When you evaluate , you have the following:
and this is undefined. Since you cannot perform the first step of the evaluation, you cannot evaluate .
Answer:
Correct answer: B
Step-by-step explanation:
Syntax: in piecewise functions such as the one attached, the "if:" section shows the domain, or x-axis values which that function pertains to.
In the graph, you can see that the graph is defined for (not-including 1 because there is an open hole there, indicating it is not part of the domain), and
.
Now that we know the domain, we can attach it to the graphs that lie on those domains.
We see that the leftmost line appears to have a positive slope and a negative y-intercept, and that the second line should have a positive y-intercept and a negative slope.
At this point, you can just start crossing off answers that don't meet this criteria.
Cheers!!