Having some trouble graphing this
y = 3 - x for x less then or equal to 1
y = 2x for x greater than one
how do I indicate that for the first part (1, 2) there would be a closed point at that cordinate but for the second part an open point at those same exact cordinates how do I indicate this on my graph?
To indicate a closed point (a filled-in point) and an open point (an unfilled point) on a graph, you can use different symbols or visual cues. Here's how you can graph the given equations and indicate the different types of points:
1. Start by plotting the first equation, y = 3 - x, for x ≤ 1:
- Choose a set of x-values smaller than or equal to 1 and calculate the corresponding y-values using the equation.
- Plot these points on the graph.
- Since the inequality includes "less than or equal to," you will include the points on the line.
- To indicate a closed point at (1, 2), draw a filled-in point at that coordinate.
2. Next, graph the second equation, y = 2x, for x > 1:
- Choose a set of x-values greater than 1 and calculate the corresponding y-values using the equation.
- Plot these points on the graph.
- Since the inequality includes "greater than," you will not include the points on the line.
- To indicate an open point, draw an unfilled point at (1, 2) to signify that it is not included in the line.
By using a different visual cue, such as a hollow circle for open points and a solid circle for closed points, you can clearly distinguish between them on your graph. Alternatively, you could use different symbols altogether for open and closed points to avoid confusion.
Remember to label your axes and title your graph for clarity.