Question

What is the piecewise function that follows the rule of 2x - 1 when x is negative and the rule y = -3 when x is positive or zero?

a) f(x) = 2x - 1 for x < 0; f(x) = -3 for x ≥ 0
b) f(x) = 2x - 1 for x > 0; f(x) = -3 for x ≤ 0
c) f(x) = 2x - 1 for x ≤ 0; f(x) = -3 for x > 0
d) f(x) = 2x - 1 for x ≥ 0; f(x) = -3 for x < 0

Answer 1

The piecewise function that follows the rule of 2x - 1 when x is negative and the rule y = -3 when x is positive or zero is f(x) = 2x - 1 for x < 0 and f(x) = -3 for x >= 0.

Step-by-step explanation:

The piecewise function that follows the rule of 2x - 1 when x is negative and the rule y = -3 when x is positive or zero is:

f(x) = 2x - 1 for x < 0;

f(x) = -3 for x >= 0

This function has different rules depending on the value of x. When x is negative, the function follows the rule 2x - 1. When x is positive or zero, the function follows the rule y = -3.