Both the graph and the formula for f(x) = -4x - 2 indicate that the function is decreasing for x ≥ 1, given the negative slope (-4) in the linear expression.
The function f is decreasing over the part of the domain where x ≥ 1. This can be seen from the graph of f(x), where the line for x ≥ 1 has a negative slope, meaning that the function value decreases as x increases.
You can also use the formula for f(x) to verify this. For x ≥ 1, f(x) = -4x - 2, which is a linear function with a slope of -4. A negative slope indicates a decreasing function. Therefore, f is decreasing over the domain x ≥ 1.
The negative slope (-4) in the linear expression f(x) = -4x - 2 for x ≥ 1 signifies a decreasing function. Both graphically and analytically, the evidence supports the conclusion that f is decreasing over x ≥ 1.