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Chapter 2: Q15. (page 105)

Graph each equation or inequality

h鈥�(x)=x+2ifx<鈭�22x鈭�1ifx鈮�鈭�2

Short Answer

Expert verified

The graph of the equationh(x)=x+2ifx<鈭�22x鈭�1ifx鈮�鈭�2 is

Step by step solution

01

Step-1 – Apply the concept of Piece wise function

The piece wise function is a function which is defined using two or more expressions.

For example, f(x)=2x+1ifx鈮�5x+2ifx>5. Here the function f(x)is defined by using two expressions.

02

Step-2 – Make a Table of values 

Make a table of values such that the values satisfy the equation

h(x)=x+2ifx<鈭�22x鈭�1ifx鈮�鈭�2.

Choose a value of x and find the corresponding value of h(x).

03

Step-3 – Graph the tabled values

By using the values in the table, graph the equation.

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