Question

6.2 symmetry and piecewise - defined functions
question 12 of 15 (4 points) | question attempt: 1 of unlimited
part 1 of 5
the first rule defines a parabola with vertex (0, -1).
part 2 of 5
since ( xleq1 ), the rightmost point (1, 0) is graphed as a solid dot.
part 3 of 5
the second rule defines a line with slope 5 and ( y ) - intercept (0, -5).
part: 3 / 5
part 4 of 5
since ( x > 1 ), the select point (, ) is graphed as an open dot.

Explanation:

Step1: Identify boundary x-value

For $x>1$, the boundary is $x=1$.

Step2: Find y at x=1 (line rule)

The line is $y=5x-5$. Substitute $x=1$:
$y=5(1)-5=0$

Step3: Determine dot position

Since $x>1$, the boundary point is the leftmost point of this segment.

Answer:

leftmost, $(1, 0)$