Question

If D1 is a data cell, and C1 and C2 are changing cells, then IF(D1 ≥ 2, C1, C2) is a linear function?

a) True
b) False

Answer 1

The expression IF(D1 ≥ 2, C1, C2) is a piecewise function, not linear, as it outputs C1 or C2 based on the condition, creating a breakpoint that disrupts a constant rate of change.

Step-by-step explanation:

The expression IF(D1 ≥ 2, C1, C2) is considered a piecewise function, not a linear function. A linear function is one in which there is a constant rate of change, represented by a straight line on a graph. In the given expression, the output value depends on whether the condition D1 ≥ 2 is true. If it is true, the output is C1; otherwise, it's C2. This conditional statement introduces a breakpoint in the function, causing a jump from C1 to C2, which means the function will not be represented by a single straight line. Therefore, the statement is false since the function is not linear across its entire domain because it changes its behavior depending on the value of D1.