Question

Choose the definition for the function. please help me

Answer 1

Explanation:

This graph is made up of two different, separate line segments. In other words, it comes in two pieces which can be described as a pair of linear functions.

We call this a "piecewise linear" function. Choice A is the best one.

Answer 2

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Answer:

A

Explanation:

It is usually sufficient to look at one section of the graph to answer a question like this. Often the best choice is the section that has a solid dot at the end of the curve. Here, that is the right section.

The left end of the right section is at x=-2, so that part of the function is defined for x ≥ -2. The line to the right has a positive slope, so the coefficient of x will be positive.

Only one answer choice has a positive x-coefficient for x ≥ -2.

`\textbf{A. }\begin{cases}-x-2&\text{if }x<-2\\x+4&\text{if }x\ge-2\end{cases}`