Question

Suppose that the function g is defined, for g(x)={(-2 if x<1),(-1 if x=1),(1 if x>1):} raph the function g.

Answer 1

To plot the function g(x), we need to consider its different cases for x values: For x<1, g(x)=-2, for x=1, g(x)=-1, and for x>1, g(x)=1. We can plot these points on a graph to visualize the function: a horizontal line at y=-2 for x<1, a single point at (1,-1), and a horizontal line at y=1 for x>1.

Step-by-step explanation:

To plot the function g(x), we need to consider its different cases for x values:

• For x < 1, g(x) = -2
• For x = 1, g(x) = -1
• For x > 1, g(x) = 1

We can plot these points on a graph to visualize the function:

• For x = 0, g(x) = -2
• For x = 1, g(x) = -1
• For x = 2, g(x) = 1

The graph will have a horizontal line at y = -2 for x < 1, a single point at (1, -1), and a horizontal line at y = 1 for x > 1.