Question

Graph the function

X+6, X ≤-2
f(x)= x², -2≤ x ≤ 1.
-2x, x > 1

Answer 1

23(2+2+3+372+27272+"

Answer 2

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: