Which is the graph of g of x ? g of x is equal to 3 when x is less than 2; g of x is equal to negative x over 2 plus 2 when negative 2 is less than or equal to x and x is less than 2; g of x is equal to 2 x minus 3 when x is greater than or equal to 2
Answer
A
Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. A piecewise graph labeled g of x consists of three parts. A horizontal ray at y equals 3 extends leftward and ends with a closed circle at negative 2 comma 2. A decreasing line segment connects the closed point negative 2 comma 2 to an open circle at 2 comma 0. A third line segment begins with a closed circle at 2 comma 1 and rises to approximately 4 comma 5.
B
Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. A piecewise graph labeled g of x consists of three parts. A horizontal line at y equals 3 extends from approximately x equals negative 5 to an open circle at negative 2 comma 3. A decreasing line segment begins with a closed circle at negative 2 comma 2 and ends with an open circle at 2 comma 0. An increasing line segment begins with a closed circle at 2 comma negative 3 and rises to approximately the point 5 comma 3.
C
Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. A piecewise graph labeled g of x consists of three connected parts. A horizontal line at y equals 3 extends from approximately x equals negative 5 to x equals negative 2. A decreasing line segment connects the point negative 2 comma 3 to the point 2 comma 1. An increasing line segment then connects the point 2 comma 1 to approximately the point 4 comma 5.
D
Image with description A coordinate plane displays the x-axis labeled from negative 5 to 5 in increments of 1 and the y-axis labeled from negative 5 to 5 in increments of 1. A piecewise graph labeled g of x consists of three parts. A horizontal line at y equals 3 extends from approximately x equals negative 5 to x equals negative 2. A decreasing line segment connects the point negative 2 comma 3 to the point 2 comma negative 5. An increasing line segment then connects the point 2 comma negative 5 to approximately the point 5 comma 1.