Q18. - Algebra 2

Question

Identify each function as S for step, C for constant, A for absolute value, or P for piecewise.

Step-by-Step Solution

Answer

The given graph represents the step function and identified by “S”.

Step-1 – Definition of each function

Absolute value - The absolute value of a number is its distance of a number from zero on the number line and distance is always non-negative.  

Step Function - A function on the real numbers is called a step function if it can be written as a finite linear combination of indicator functions of intervals.

Constant - A constant is a number on its own, or sometimes a letter such as a, b or c to stand for a fixed number.

Piecewise - A piecewise function is a function that is defined on a sequence of intervals.

Step-2 – Shape of graph.

The graph consists of multiple horizontal segments.

Step-3 – Identify the function of the graph.

The graph represents a step function.

So, it is identified by “S”.