28.9k views
3 votes
HELP!!!!!

Graphing a Piecewise-Defined Function
Which graph represents the piecewise-defined function f(x) =

HELP!!!!! Graphing a Piecewise-Defined Function Which graph represents the piecewise-example-1

2 Answers

5 votes

Answer:

last one

Explanation:

User AnOldSoul
by
5.2k points
3 votes

Answer: Last option

Explanation:

Note that when the point is not included in the function is marked with an empty circle, and when the point is included in the function is marked with a filled circle.

From the interval
0\leq x <3 f(x) is represented by the slanted line
-x +4 that cuts the y-axis at
y = 4

The starting point of the line must be filled and the end point must be empty.

Then, from the interval
x \geq 3 f(x) is defined by the horizontal line
y = 6. The starting point of this line is marked with a filled circle because it includes the point
x = 3

Therefore the correct option is option D or the last graph (from left to right)

User Sudhir Sinha
by
4.3k points