# Graph each relation and find the domain and range Algebra 2 Unit 1 Project help

all graphs may be on desmos then screenshotted and posted into the paper.

Unit 1 Project

Graph each relation and find the domain and range. Then determine whether the relation is a function.

1. {(Â­4, Â­8), (Â­2, 2), (0, 5), (2, 3), (4, Â­9)}

2. y = 3x Â­ 3

Find the functional value.

3. f(0) if f(x) = x Â­ 3x^2

Graph each equation or inequality.

4. y = 3/4x -2

5. f(x) = [[3x]] + 3

6. y < 3|x Â­ 2|

Find the slope of the line that passes through the two points.

7. (5, Â­3), (6, 2)

8. (-2,5), (4,5)

Write an equation in slopeÂ­intercept form for the line that satisfies each set of conditions.

9. passes through (Â­6, 15), parallel to the graph of 3x + 2y = 1

10. passes through (5, Â­2), perpendicular to the graph of x + 2y = 8

Solve each system of equations. Check each answer algebraically.

11. Â­6x + 3y = 33 Â­4x + y = 16

12. 2y = 5x Â­ 1 x + y = Â­1

13. x + y + z = Â­1 2x + 4y + z = 1 x + 2y Â­ 3z = Â­3

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function.

14. 5 â‰¥ y â‰¥ Â­3 4x + y â‰¤ 5 Â­2x + y â‰¤ 5 f(x, y) = 4x Â­ 3y

15. x â‰¥ Â­10 1 â‰¥ y â‰¥ Â­6 3x + 4y â‰¤ Â­8 2y â‰¥ x Â­ 10 f(x, y) = 2x + y