Which graph represents the following piecewise defined function? g of x equals enlarged left-brace first row x squared comma x less than 0. Second row one half x comma 0 less than x less than or equal to 4. Third row x comma x greater than 4.
Answer
A
Image with description On a coordinate plane, the scale on the x axis range from negative 8 to 8 in increments of 1, and the scale on the y axis range from negative 4 to 8 in increments of 1. The graph is comprised of a curve and 2 lines. The curve starts at (0 comma 0) and curves down through (negative 2 comma negative 4). The first line starts from the open circle at (0 comma 0) and goes to an open circle (4 comma 2). The second line starts from the closed circle at (4 comma 4) and goes to (7 comma 7).
B
Image with description On a coordinate plane, the scale on the x axis range from negative 8 to 8 in increments of 1, and the scale on the y axis range from negative 3 to 9 in increments of 1. The graph is comprised of a curve and 2 lines. The curve starts at (0 comma 0) and curves up through (negative 3 comma 9). The first line starts from the closed circle at (0 comma 0) and goes to (4 comma 2). The second line starts from the closed circle at (4 comma 2) and goes to (7 comma 7).
C
Image with description On a coordinate plane, the scale on the x axis range from negative 8 to 8 in increments of 1, and the scale on the y axis range from negative 3 to 9 in increments of 1. The graph is comprised of 3 lines. The first line starts from the closed circle at (0 comma 0) and goes to (negative 3 comma 6). The second line starts from the closed circle at (0 comma 0) and goes to the closed circle (4 comma 2). The Third line starts from the open circle at (4 comma 4) and goes to (7 comma 7).
D
Image with description On a coordinate plane, the scale on the x axis range from negative 8 to 8 in increments of 1, and the scale on the y axis range from negative 3 to 9 in increments of 1. The graph is comprised of a curve and 2 lines. The curve starts at (0 comma 0) and curves up through (negative 3 comma 9). The first line starts from the closed circle at (0 comma 0) and goes to (4 comma 2). The second line starts from the closed circle at (4 comma 2) and goes to (7 comma 7).