Chapter 2: Q15. (page 105)

Graph each equation or inequality
$h (x) = \{\begin{matrix} x + 2 if x < - 2 \\ 2 x - 1 if x \geq - 2 \end{matrix}$

Short Answer

Expert verified

The graph of the equation $h (x) = \{\begin{matrix} x + 2 if x < - 2 \\ 2 x - 1 if x \geq - 2 \end{matrix}$ is

Step by step solution

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, $f (x) = \{\begin{matrix} 2 x + 1 if x \leq 5 \\ x + 2 if x > 5 \end{matrix}$ . Here the function $f (x)$ is defined by using two expressions.

Step-2 – Make a Table of values

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

$h (x) = \{\begin{matrix} x + 2 if x < - 2 \\ 2 x - 1 if x \geq - 2 \end{matrix}$ .

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

Step-3 – Graph the tabled values

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

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Graph each equation or inequality
$h (x) = \{\begin{matrix} x + 2 if x < - 2 \\ 2 x - 1 if x \geq - 2 \end{matrix}$

Short Answer

Step by step solution

Step-1 – Apply the concept of Piece wise function

Step-2 – Make a Table of values

Step-3 – Graph the tabled values

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Graph each equation or inequalityh (x)=x+2ifx<−22x−1ifx≥−2

Short Answer

Step by step solution

Step-1 – Apply the concept of Piece wise function

Step-2 – Make a Table of values

Step-3 – Graph the tabled values

One App. One Place for Learning.

Most popular questions from this chapter

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Probability and Statistics

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Study anywhere. Anytime. Across all devices.

Graph each equation or inequality
$h (x) = \{\begin{matrix} x + 2 if x < - 2 \\ 2 x - 1 if x \geq - 2 \end{matrix}$