Which is the graph of the piecewise-function f of x ? f of x is equal to negative x plus 1 when x is less than or equal to 0; f of x is equal to x plus 1 when x is greater than 0
Answer
A
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled f (x). The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An inverted, downward-opening V-shaped line has its vertex at 1 comma 0. To the left of the vertex, the line passes through 0 comma negative 1, negative 1 comma negative 2, negative 2 comma negative 3, negative 3 comma negative 4, and negative 4 comma negative 5. To the right of the vertex, the line passes through 2 comma negative 1, 3 comma negative 2, 4 comma negative 3, and 5 comma negative 4.
B
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled f (x). The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An upward-opening V-shaped line has its vertex at 1 comma 0. To the left of the vertex, the line passes through 0 comma 1, negative 1 comma 2, negative 2 comma 3, negative 3 comma 4, and negative 4 comma 5. To the right of the vertex, the line passes through 2 comma 1, 3 comma 2, 4 comma 3, and 5 comma 4.
C
Image with description On a coordinate plane, a piecewise function has 2 connecting lines. The first line goes from (4 comma 5) down to (0 comma 1). The second line goes from (0 comma 1 up through (4 comma 5).
D
Image with description A coordinate plane with a horizontal axis labeled x and a vertical axis labeled f (x). The scale on both axes ranges from negative 5 to 5 with an interval of 1 unit. An inverted, downward-opening V-shaped line has its vertex at 0 comma 1. To the left of the vertical axis, the line passes through negative 1 comma 0, negative 2 comma negative 1, negative 3 comma negative 2, negative 4 comma negative 3, and negative 5 comma negative 4. To the right of the vertical axis, the line passes through 1 comma 0, 2 comma negative 1, 3 comma negative 2, 4 comma negative 3, and 5 comma negative 4.