7
QuizMultiple Choice

Linear Piecewise Defined Functions — Quiz

Question 7 • Algebra I

The piecewise-function f of x has opposite expressions. f of x is equal to 2 x minus 1 when x is less than 0; f of x is equal to 0 when x is equal to 0; f of x is equal to negative 2 plus 1 when x is greater 0 Which is the graph of f of x ?

Answer
A
Image with description A coordinate plane has both the x and y axes labeled from negative 5 to 5 in increments of 1, with a piecewise function featuring 2 line segments. The first line segment decreases from the point negative 3 comma 4 down to an open circle at negative 1 comma 0. The second line segment has a closed circle at 1 comma 0 and increases to the point 3 comma 4.
B
Image with description A coordinate plane with a V-shaped graph. The x-axis is labeled from negative 5 to 5 in increments of 1 and the y-axis is labeled from negative 6 to 5 in increments of 1. The graph has its vertex at the point 0 comma 0 at the origin. From the vertex, one ray extends upward to the left with a steep negative slope, passing through approximately negative 1 comma 3. A second ray extends downward to the right with a steep negative slope, passing through approximately 1 comma negative 4.
C
Image with description A coordinate plane with a piecewise function consisting of two line segments and a point. The x and y axes are labeled from negative 5 to 5 in increments of 1. The first line segment enters from the lower left, passes through the point negative 2, comma negative 5, and ends at an open circle at 0, comma negative 1. A closed circle is plotted at the point 0 comma 0. The second line segment begins at an open circle at 0 comma 1 and continues toward the lower right, passing through the point 2, comma negative 3.
D
Image with description A coordinate plane with a piecewise function consisting of two line segments and a point. The x and y axes are labeled from negative 5 to 5 in increments of 1. The first line segment enters from the left, passes through the point negative 1, comma negative 3, and ends at an open circle at 0, comma negative 1. A closed circle is plotted at the point 0 comma 0. The second line segment begins at an open circle at 0, comma 1 and continues toward the lower right, passing through the points 1, comma negative 1, and 2, comma negative 3.
Previous
Next