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MarkV
Hi there! The 3rd answer is correct.

Between x = - 4 and x = - 1 the function is represented by a straight line (and is therefore lineair). Moreover, the value of y increases when moving to the right (and therefore the function is increasing).

Straight line represent the linear function and values of one variable with respect to other describe the order.The function between [tex]x=-4[/tex] and [tex]x=-1[/tex] is linear and increasing.

How to determine the graphed function is linear or not?

When the graph of the function represents the straight line, then it is called the linear function. The curved or wavy lines are called the non linear function.

Order of the function-

  • When the value of output function is increased with increase in the input values then the graphed function is said to be in increasing order.

  • When the value of output function is decreased with increase in the input values then the graphed function is said to be in decreasing order.

  • When the value of output function is remain same with increase or decrease in the input values then the graphed function is said to be in constant.

Given information-

The graphed function is given in the problem.

As for the function between the two values of x variables as,

[tex]x=-4[/tex],

[tex]x=-1[/tex]

The function is graphed with straight line, Thus the graphed function is linear function.

The value of variable y is increasing with increases in value of variable x. Thus the function is of increasing order.

Hence, the function between [tex]x=-4[/tex] and [tex]x=-1[/tex] is linear and increasing.

Learn more about the linear and non linear function here;

https://brainly.com/question/1418397

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