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Chapter 2: Q15. (page 93)

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

15.

Short Answer

Expert verified

The graph represents a Constant function and identified by “C”

Step by step solution

01

Step-1 – Definition of each function

Absolute value – The absolute value of a number is its distance of 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.

02

Step-2 – Shape of graph.

The graph is a horizontal line parallel to x-axis.

03

Step-3 – Identify the function of graph.

The graph represents a Constant function because for every different value of x we get same value of y.

So it is identified by “C”.

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