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3 years ago

What is the range of the relation below? {(-4,1), (-2,0), (8, -1)}

Mathematics

1 answer:

anyanavicka [17]3 years ago

5 0

Answer:

Range: {-1, 0, 1}

General Formulas and Concepts:

Math

Number Line

Algebra I

Range is the set of y-values that are outputted by function f(x)
{Set Builder Notation}

Step-by-step explanation:

Step 1: Define

[Relation] {(-4, 1), (-2, 0), (8, -1)}

Step 2: Identify

According to the relation, our y-values are 1, 0, and -1. These values would encompass our range.

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3 years ago

For each order pair (x,y) , determine whether it is a solution to the inequality 4x-6y_< - 18

anyanavicka [17]

Solution:

Given:

$4x-6y\leq-18$

To determine if an ordered pair is a solution, we substitute the x and y-values into the inequality and check if it is true.

Thus,

$\begin{gathered} For\text{ the point }(-9,-2) \\ x=-9,y=-2 \\ 4x-6y\leq-18 \\ 4(-9)-6(-2)=-36+12=-24 \\ Since\text{ }-24$

$\begin{gathered} For\text{ the point }(0,3) \\ x=0,y=3 \\ 4x-6y\leq-18 \\ 4(0)-6(3)=0-18=-18 \\ Since\text{ }-18=-18,\text{ then }(0,3)\text{ is a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(5,-3) \\ x=5,y=-3 \\ 4x-6y\leq-18 \\ 4(5)-6(-3)=20+18=38 \\ Since\text{ }38>-18,\text{ then }(5,-3)\text{ is not a solution} \end{gathered}$

$\begin{gathered} For\text{ the point }(8,5) \\ x=8,y=5 \\ 4x-6y\leq-18 \\ 4(8)-6(5)=32-30=2 \\ Since\text{ }2>-18,\text{ then }(8,5)\text{ is not a solution} \end{gathered}$

Therefore, the correct answers are selected as shown below;

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