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Name: ________________________ Class: ___________________ Date: __________ ID: A Unit IV......................................................Chapter 8......................................................Review Quest List the Domain and Range for the following relation and then use a mapping diagram to determine whether the relation is a function. Graph the equation using intercepts. 6. y = − 1. ÊÁË −4, − 3 ˜ˆ¯ , ÊÁË −3, 2 ˜ˆ¯ , ÊÁË 8, 2 ˜ˆ¯ , ÊÁË 9, 6 ˜ˆ¯ 3 x +1 2 Tell whether the graph represents a function. Write Yes or No. 2. Find the slope of the line passing through the points, and write the equation of the line in function form. 7. ÊÁË −6, 8 ˆ˜¯ , ÊÁË 6, 3 ˆ˜¯ 5 −5 a. − ; y = 12 x 12 12 −12 b. − ; y = 5 x 5 12 −12 c. − ; y = 5 + 5.5 5 5 −5 d. − ; y = 12 x + 5.5 12 Write the equation in function form. Then graph the equation. 3. 6x − 3y = 15 4. 2x − 3y = 0 Find the intercepts of the equation's graph. Find the missing value using the given slope and points. 5. x = − 7 8. m = − 1 4 and ÊÁË −2, 9 ˆ˜¯ , ÊÁË 3, y ˆ˜¯ 5 Name: ________________________ ID: A 13. Does the ordered pair ÁÊË 5, 6 ˆ˜¯ satisfy the system of linear equations? 4x + 4y = 40 Find the slope and y-intercept of the line with the given equation. 9. 8x + 4y = −96 a. b. c. d. slope: 24; y-intercept: x − 4y = − 15 1 2 1 2 slope: −2; y-intercept: −24 slope: 2; y-intercept: 24 Graph the system of equations. Determine whether the system has no solution, one solution, or infinitely many solutions. slope: 16; y-intercept: − 14. y = 5x − 4 y = 5x + 1 Write the equation of the graph in slope-intercept form. 10. Solve the linear system by graphing. a. y= b. y= c. y= d. y= 15. 9 x+3 7 7 − x+3 9 7 x+3 9 9 − x+3 7 Write an equation of the line that is parallel to the given line and passes through the given point. Express your answer in slope-intercept form. 11. y = − 2x + 6; ÊÁË 0, − 2 ˆ˜¯ Write an equation of the line that is perpendicular to the given line and passes through the given point. Express your answer in slope-intercept form. 12. y = −2x + 6 ; ÊÁË 0, − 5 ˆ˜¯ 2 y = −3 −x y = 3x + 5 ÊÁ 5 5 ˆ˜ a. ÁÁÁÁ − , ˜˜˜˜ Ë 4 4¯ ÊÁ 3 9 ˆ˜ b. ÁÁÁÁ − , − ˜˜˜˜ 4¯ Ë 4 c. ÁÊË 4, − 7 ˜ˆ¯ d. ÊÁË −2, − 1 ˆ˜¯ ID: A Unit IV......................................................Chapter 8......................................................Review Quest Answer Section 1. It is a function. 2. Yes 3. y = 2x − 5 4. y = 2 x 3 5. x-intercept: − 7, y-intercept: none 6. 7. D 8. 5 1 ID: A 9. C 10. A 11. y = − 2x − 2 1 12. y = x − 5 2 13. No 14. no solution 15. D 2