Question

or Graph this function. f(x)= – x+1 if – 7≤x< – 1 3x if – 1≤x≤2 Select points on the graph to plot them. Select "Point fill" to change a point from closed to open.

Answer 1

Let's graph the function f(x) = -x + 1 for -7 ≤ x < -1 and f(x) = 3x for -1 ≤ x ≤ 2.

To plot the points, we can choose some values of x within the given intervals and calculate the corresponding values of f(x).

For example:
- Let's choose x = -7. Substitute it into the first part of the function: f(-7) = -(-7) + 1 = 8. So, we have the point (-7, 8).
- Now, let's choose x = -1. Substitute it into the second part of the function: f(-1) = 3(-1) = -3. So, we have the point (-1, -3).
- Lastly, let's choose x = 2. Substitute it into the second part of the function: f(2) = 3(2) = 6. So, we have the point (2, 6).

Plotting these points will give you a portion of the graph. Remember to label the axes and indicate the intervals where each part of the function applies.