- For problem 1:
- Graph the line y = 2x + 1 for x < -2. This is a line with slope 2 and y-intercept 1, but only draw it to the left of x = -2. At x = -2, use an open circle since x = -2 is not included.
- Graph the line y = -x - 1 for x ≥ -2. This is a line with slope -1 and y-intercept -1, drawn starting at x = -2. At x = -2, use a closed circle since x = -2 is included.
- For problem 2:
- Graph the line y = (1/2)x + 2 for x < 2. This is a line with slope 1/2 and y-intercept 2, but only draw it to the left of x = 2. At x = 2, use an open circle since x = 2 is not included.
- Graph the line y = 2x - 3 for x ≥ 2. This is a line with slope 2 and y-intercept -3, drawn starting at x = 2. At x = 2, use a closed circle since x = 2 is included.
Parent Tip: Review the logic above to help your child master the concept of linear piecewise functions worksheet.