Math 107 Assignment 2 (Quiz) 1. Write an equation of the circle with center at the point (4, –1) and radius 5? (x – a)² + (y-b)² = r² 2. What are coordinates of center and radius for the following circle: (x – 5)2 + (y + 6)2 = 9 3. Find coordinates of midpoint M between point B(2, 10) and point C(8, 6). 4. Calculate the distance between point A(– 1, 0) and point M(5,8). 5. Determine if following relation is a function. Explain why. a) {(-5, 5), (-4, 4), (3, -3), (1, 1)} b) {(1, 4), (2, 5), (3, 6), (1, 7)} 6. Find x-intercept and y-intercept for the line: x – 4y = 20. 7. Find the slope of line given with equation: 3x + 5y = 15. 8. Given f(x) = x2 + x + 5 , find f(a+2) 9. Find equation of line passing through the two given points: (1, -2) and (3, 6). 10. Which of the following graphs represent the function: 2x – 3 y = 6? 11. What is equation of this line: a) x – y = 4 b) 4x + 4y = 1 c) x – 4y = 4 d) 4x – y = 4 12. Find the domain of the function: y = √(2x+5) 13. Visually estimate domain and range for this function: 14. Find equation of line that has slope m = 3 and passes through the point (5, -1). 15. Find equation of line passing through the point (4, 2) parallel to the line: y = 5x + 10 16. Determine whether the lines are parallel, perpendicular or neither. Explain your answer. 3x + y = 12 and x – 3y = 9 17. Find equation of line passing through the point (1, 4) perpendicular to the line: x – 2y = 8. 18. Solve linear inequality and write the solution in interval notation: 10 – x ≥ 5x – 20 19. Solve linear inequality and write the solution in interval notation: 7 < 2x + 9 < 15 20. The price of item in the store is the wholesale price increased by 50% and then added $10. What is the wholesale price of the item if it sells for $58? Assign x for the wholesale price, make an equation and solve for x.