Question

Which type of function is f(x)? (most specific)

A) Linear
B) Piecewise
C) Step function
D) Absolute value function

Answer 1

The function f(x) = x² corresponds to a piecewise function. Hence the correct answer is option B

Step-by-step explanation:

The given function is f(x) = x². To determine the type of function, let's analyze its characteristics:

• The function has a positive value at x = 3, which means f(3) > 0.
• The slope of the function is positive, meaning it increases as x increases. In this case, the slope is getting smaller in magnitude as x increases, indicating a decreasing slope.

Based on these characteristics, we can conclude that the function f(x) = x² corresponds to a piecewise function (option B) because its nature changes at x = 0.