Answer:
Explanation:
To graph the function, we'll break it down into three parts based on the given conditions.
For x ≤ -2:
The function f(x) = x + 6 is valid in this range. We'll plot a straight line with a slope of 1 and a y-intercept of 6. Since x ≤ -2, we'll extend the line towards the left indefinitely.
For -2 ≤ x ≤ 1:
The function f(x) = x² is valid in this range. We'll plot a curve representing a quadratic function. The graph starts at the point (-2, 4), curves upward, and ends at the point (1, 1).
For x > 1:
The function f(x) = -2x is valid in this range. We'll plot a straight line with a negative slope of -2. Since x > 1, we'll extend the line towards the right indefinitely.
Combining these three parts, we get the graph of the function as follows: