how to graph f(x)={-0.5x+5 if x<1
{-0.5(x+5) if x¡Ý1
(the {'s are supposed to be one long one)
To graph the function f(x) = {-0.5x + 5 if x < 1 and {-0.5(x + 5) if x >= 1, you can follow these steps:
1. First, determine the different intervals for x based on the conditions given in the function. In this case, the interval is divided into x < 1 and x >= 1.
2. Let's start with the interval x < 1:
a. Choose some sample values for x which are less than 1, such as -2, -1, and 0.
b. Substitute these sample values into the first part of the function, which is -0.5x + 5, to find the corresponding y-values.
c. Plot the points (x, y) on the graph.
3. Now, move on to the interval x >= 1:
a. Choose sample values for x that are greater than or equal to 1, such as 1, 2, and 3.
b. Substitute these sample values into the second part of the function, which is -0.5(x + 5), to find the corresponding y-values.
c. Plot the points (x, y) on the graph.
4. After plotting all the points, draw a line connecting the points in each interval.
- For x < 1, connect the dots with a straight line.
- For x >= 1, you need to plot points on the line and connect them smoothly to form a line.
5. Finally, label the graph properly, including the x-axis, y-axis, and any relevant units or scales.
Remember to pay attention to the intervals and conditions specified in the function while graphing.