Question

Choose the best answer. Which is the correct piecewise definition for the function y = 3451 - 2?

A. y = 3 - 3 for x < 5 and y = -x + 7 for x ≥ 5
B. y = x + 3 for x ≥ 5 and y = -7 for x < -5
C. y = x - 3 for x < 5 and y = x + 7 for x ≥ 5
D. y = x + 3 for x < -5 and y = 2 - 7 for x ≥ -5

Answer 1

The correct piecewise definition for the function y = 3451 - 2 is option C. y = x - 3 for x < 5 and y = x + 7 for x ≥ 5.

Step-by-step explanation:

The correct piecewise definition for the function y = 3451 - 2 is option C. y = x - 3 for x < 5 and y = x + 7 for x ≥ 5.

In this piecewise function, for values of x less than 5, the function is defined as y = x - 3. For values of x greater than or equal to 5, the function is defined as y = x + 7. This ensures that for any value of x, we have a clear definition for y.

For example, if x = 3, which is less than 5, using the first part of the piecewise function, y = 3 - 3 = 0. If x = 7, which is greater than or equal to 5, using the second part of the piecewise function, y = 7 + 7 = 14.