Which graph represents the following piecewise defined function? f of x equals enlarged left-brace first row negative 2 x comma x less than negative 1. Second row negative 1 comma negative 1 less than or equal to x less than 2. Third row x minus 1 comma x greater than or equal to 2.
Answer
A
Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 by 1, and the y-axis ranges from negative 3 to 7 by 1. The graph has 2 rays and a line segment. A ray in the first quadrant has an open circle at (2 comma 1), passes through (3 comma 2), and terminates at (4 comma 3). The second ray is in the second quadrant with an open circle at (negative 1 comma 2), passes through (negative 2 comma 4), and terminates at (negative 3 comma 6). A line segment is parallel to the x-axis and lies below the x-axis. It has an open circle at (negative 1 comma negative 2) and a closed circle at (1 comma negative 2).
B
Image with description On a coordinate plane, the x-axis ranges from negative 5 to 5 by 1, and the y-axis ranges from negative 3 to 7 by 1. The graph has 2 rays and a line segment. A ray in the first quadrant has a filled-in circle at (2 comma 1), passes through (3 comma 2), and terminates at (4 comma 3). The second ray is in the second quadrant with an open circle at (negative 1 comma 2), passes through (negative 2 comma 4), and terminates at (negative 3 comma 6). A line segment is parallel to the x-axis and lies below the x-axis. It has a filled-in circle at (negative 1 comma negative 1) and an open circle at (2 comma negative 1).
C
Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 by 1. The graph has 2 rays and a line segment. A ray starts at (2 comma negative 1), intersects the x-axis at (3 comma 0), and terminates at (4 comma 1). Another ray starts at (negative 1 comma negative 1), intersects the x-axis, goes through (negative 2 comma 1), and terminates at (negative 3 comma 3). A line segment is parallel to the x-axis and lies below the x-axis. It has a filled-in circle at (negative 1 comma negative 1) and a closed circle at (2 comma negative 1).
D
Image with description On a coordinate plane, the x and y axes range from negative 5 to 5 by 1. The graph has 2 rays and a line segment. A ray starts at (2 comma negative 1), intersects the x-axis at (3 comma 0), and terminates at (4 comma 1). Another ray starts at (negative 1 comma negative 1), intersects the x-axis, goes through (negative 2 comma 1), and terminates at (negative 3 comma 3). A line segment is parallel to the x-axis and lies below the x-axis. It has an open circle at (negative 1 comma negative 1) and an open circle at (2 comma negative 1).