(x2 4 25. + ) 2 3 x = − +1)− −1 vertex: (1, 4) 27. ( ) ( 4 f x x = −1)2 − x-intercepts: vertex: (1, –4) ( 0 4 x-intercepts: x = − −1)2 + 0 ( 4 x ( 4 = −1)2 − x −1)2 = 1 = ±2 x – ( 4 x −1)2 = = or = 3 x x –1 1 = ±2 x – y-intercept: = or = 3 x –1 x ( ) (0 4 y-intercept: –3 f x = − −1)2 + = (0) (0) 02 2 3 f = − − = −3 3 The axis of symmetry is = 1. x The axis of symmetry is = 1. x (−∞, domain: ∞) (−∞, domain: [−4, ∞) range: ∞) (−∞, range: 4] (x ) 2 15 f x2 x = − − ( ) ( 1 3)2 f x x = − − (x2 (x ) 2 1) 15 1 f x = − + − − 26. ( ) ( 3)2 f x x = − − +1 (x ) (x 1)2 16 f = − − vertex: (3, 1) 28. vertex: (1, –16) x-intercepts: x-intercepts: ( f 0 ( 3)2 1 x = − − + f ( 0 x = −1)2 −16 ) x ( 3)2 1 x − = ( ( 16 x −1)2 = 3 = ± 1 = x – 1 = ± 4 = 2 or = 4 x x – x x 4 − = or = 5 x –3 x y-intercept: ) y-intercept: ( (0) (0 3)2 f = − − +1 = = (0) (0) 02 2 = f = − −15 –15 x The axis of symmetry is = 1. x −8 x2 The axis of symmetry is = 3. x − ( f ) x − = 3 − (−∞, domain: ∞) ( f [−16, (−∞, range: domain: ∞) ∞) ( x (−∞,1] range: x
25. 26. f ( x ) = 4 − ( x f ( x ) = − ( x + 4 vertex: (1, 4) x-intercepts: 0 = − ( x −1)2 + 4 ( x −1)2 = 4 x – 1 = ±2 x = –1 or x = 3 y-intercept: f ( x ) = − (0 −1)2 + 4 = 3 The axis of symmetry is x = 1. domain: (−∞, ∞) range: (−∞, 4] f ( x ) = 1 − ( x − 3)2 f ( x ) = − ( x − 3)2 +1 vertex: (3, 1) x-intercepts: 0 = − ( x − 3)2 + 1 ( x − 3)2 = 1 x – 3 = ± 1 x = 2 or x = 4 y-intercept: f (0) = − (0 − 3)2 +1 = −8 The axis of symmetry is x = 3. domain: (−∞, ∞) range: (−∞,1] 27. 28. f ( x ) = x2 − − 3 f ( x ) = (x2 − 2 x +1)− 3 −1 f ( x ) = ( x −1)2 − 4 vertex: (1, –4) x-intercepts: 0 = ( x −1)2 − 4 ( x −1)2 = 4 x – 1 = ±2 x = –1 or x = 3 y-intercept: –3 f (0) = 02 − 2 (0) − 3 = −3 The axis of symmetry is x = 1. domain: (−∞, ∞) range: [−4, ∞) f (x ) = x2 − 2 x − 15 f (x ) = (x2 − 2 x + 1) − 15 − 1 f (x ) = (x − 1)2 − 16 vertex: (1, –16) x-intercepts: 0 = ( x −1)2 −16 ( x −1)2 = 16 x – 1 = ± 4 x = –3 or x = 5 y-intercept: f (0) = 02 − 2 (0) −15 = –15 The axis of symmetry is x = 1. domain: (−∞, ∞) range: [−16, ∞)
Precalculus-Essentials-5th-Edition-Blitzer-Solutions-Manual.docx