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- Introduction to Relations and Functions

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Get Started Now- Lesson: 1a1:48
- Lesson: 2a2:12
- Lesson: 2b1:51
- Lesson: 2c1:05
- Lesson: 3a2:16
- Lesson: 4a1:26
- Lesson: 4b1:15

This lesson will teach us the basic concepts of relationship between two quantities in the coordinate system. For instances, is y a dependent variable or independent variable? What is domain and range? What is an ordered pair? What is quadrant? And how do we plot points on a graph?

Related Concepts: Reading linear relation graphs, Solving linear equations by graphing, Introduction to quadratic functions

Coordinate System : A presentation of a real number by points on the real number line using an order pair.

Order pairs: A point ( x , y ) on the coordinate plane. Eg. (-3,5), (0,5)…

Origin: The intersection of x-axis and y-axis $\to ( 0 , 0 )$

Relations: Sets of ordered pairs ( x , y )

Domain: All the x-values on the coordinate system

Range: All the y-values on the coordinate system

Independent Variable: The "x" values, which are also known as the inputs when solving for a solution.

Dependent Variable: The "y" values, which are also known as the outputs when solving for a solution.

Order pairs: A point ( x , y ) on the coordinate plane. Eg. (-3,5), (0,5)…

Origin: The intersection of x-axis and y-axis $\to ( 0 , 0 )$

Relations: Sets of ordered pairs ( x , y )

Domain: All the x-values on the coordinate system

Range: All the y-values on the coordinate system

Independent Variable: The "x" values, which are also known as the inputs when solving for a solution.

Dependent Variable: The "y" values, which are also known as the outputs when solving for a solution.

- 1.Understanding the difference between X & Ya)

- 2.Express the relation using mapping notation and ordered pairs.a)x = { -5 , -3 , -1 , 1 , 3 }

y = { 2 , 4 , 6 , 10 , 12 }b)x = { -4 , -2 , 0 , 2 , 4 }

y = { 3 , 3 , 3 , 3 , 3 }c)(1,3) , (2,2) , (3,1) - 3.Indicate the quadrant of the following points.a)(5, -3) (-3, 4) (-4, -3) (2, -6)
- 4.Plot or find the points on the grida)Find the coordinates A, B, C & D points

b)Plot the following points on the grid:

(4,5), (-2, 4), (-4,-3) & (5,-6)

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