Algebra-1

The given function is defined piecewise:

For x ≤ 1, the function f(x) = x - 4.
For x > 1, the function f(x) = 3x.

To describe the graph of this function, we can break it down into two parts based on the different expressions for x ≤ 1 and x > 1.

For x ≤ 1:
The graph of f(x) = x - 4 for x ≤ 1 is a linear function with a slope of 1 and a y-intercept of -4. It starts at the point (1, -3) and continues as a straight line with a slope of 1. The line extends to negative infinity as x approaches negative infinity.

For x > 1:
The graph of f(x) = 3x for x > 1 is also a linear function but with a slope of 3. It starts at the point (1, 3) and continues as a straight line with a slope of 3. The line extends to positive inf...