University:
High School
Course:
High School Algebra
Academic year:

2022
Views:

441

Pages:

13
Author:

kekoman79

In Exercises 1-4, match the equation with its graph. Graphs are labeled (a), (b), (c), and (d). y = 1/2x + 2 -> (b) y = -√(9-x²) -> (d) y = x³ - x -> (c) y = 4 - x² -> (a) In Exercises 5-10, find any intercepts. y = (x+2)(x-1) x-int: (-2, 0), (1, 0) y-int: (0, -2) y = x(x²+4) x-int: (0, 0) y-int: (0, 0) y = x³ + 3x² x-int: (0, 0), (-3, 0) y-int: (0, 0) y = (3x+1)² x-int: (-1/3, 0) y-int: (0, 1) x²y - x² + 4y = 0 x-int: (0, 0) y-int: (0, 0) y = 2x - √(x²+1) x-int: none y-int: (0, -1) In Exercises 11-18, find the points of intersection of the graphs of the equations, and check your results analytically. x + y = 2 2x - y = 1 Solution: (1, 1) 2x - 3y = 13 5x + 3y = 1 Solution: (2, -3) x² + y² = 25 x - y = 1 Solution: (5, 4) and (-4, -5) x² + y² = 25 2x + y = 10 Solution: (5, 0) and (3, 4) x² + y² = 5 x - y = 1 Solution: (3, 2) and (-2, -1) x² + y = 4 2x - y = 1 Solution: (1, 3) and (-3, 7) y = x³ y = x Solution: (0, 0), (1, 1), (-1, -1) x = 3 - y² y = x - 1 Solution: (2, 1), (-1, -2) [Graph of a line] m = 1 [Graph of a line] m = 2 [Graph of a line] m = 0 [Graph of a line] m = -1 [Graph of a line] [Graph of a line] [Graph of a line] m = 0 9) Parent Function: y = eˣ a) y = eˣ⁺¹ b) y = e⁻ˣ c) y = e²ˣ⁺³ d) y = -eˣ 10) Parent Function: y = 1/x a) y = 1/(x - 2) b) y = -1/x c) y = 1/(x + 4) d) y = 2/(5 - x)