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Chapter 2: Q18. (page 93)

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

Short Answer

Expert verified

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

Step by step solution

01

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.

02

Step-2 – Shape of graph.

The graph consists of multiple horizontal segments.

03

Step-3 – Identify the function of the graph.

The graph represents a step function.

So, it is identified by “S”.

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Most popular questions from this chapter

Compare the quantity in Column A and the quantity in Column B. Then determine whether:

A. the quantity in Column A is greater,

B. the quantity in Column B is greater,

C. the two quantities are equal, or

D. the relationship cannot be determined from the information given.

Column A

Column B

The x-coordinate of point Q

The y-coordinate of point P

State whether each equation or function is linear. Write yes or no. If no, explain your reasoning.

h(x)=2x3-4x2+5

Find the x-intercept and the y-intercept of the graph of each equation. Then graph of the equation.

41.3x-4y-10=0

Graph each equation or inequality

h (x)=x+2ifx<−22x−1ifx≥−2

Find the x-intercept and the y-intercept of the graph of each equation. Then graph of the equation.

2x+5y-10=0
See all solutions

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