Question

Choose the definition for the function.

a) y = -2x + 1, x > 1; y = -x + 2, x < 1
b) y = 1 - x + 2, -2x + 1, x < 1
c) y = -2x + 1, x > 1; -x + 2, x < 1
d) y = -2x + 1, x > 1; -x + 2, x < 1

Answer 1

The function that corresponds to the given conditions is y = -2x + 1, x > 1; y = -x + 2, x < 1.

Step-by-step explanation:

The function that corresponds to the given conditions is a) y = -2x + 1, x > 1; y = -x + 2, x < 1.

At x = 3, the function has a positive value, which means it lies above the x-axis. The positive slope that is decreasing in magnitude with increasing x indicates a downward-sloping line. Option a) satisfies these conditions as it has a negative slope, starts at (1, -1) and moves downward to the left, and starts at (1, 1) and moves downward to the right.