11-1 Square Root Functions - Math Slide Show

Lesson 11-1 (cont.)Evaluate when a = -5, b = 2, and c = -1. Round tonearest hundredth when necessary.23) b − 4ac4)( )( )22 −4 −5 −1a−2cb2 2( −5) − 22 24− 20= −162 ( −1)No Real Root25 − 4−25−2−2=−32Evaluate when a = 2, b = 3, and c = -2. Round tonearest hundredth when necessary.25) − b ± b −4ac6)( )( )− ± − −23 3 4 2 2− 3 ±25−3 ± 5−3 + 5 −3− 52 or −8− ± −2a2b b 4ac( )( )− ± − −2(2)23 3 4 2 2− 3±254− 3±54− 3 + 5=14 2−3−5 = −24Domains for Real RootsState the domain for x in each root below.1) x{x:x∈ Reals, x ≥ 0}2) x + 4{x:x∈ Reals, x ≥−4}3) x − 5{x:x∈ Reals, x ≥ 5}x + 4 ≥0−4 −4x ≥−4x−5≥0+ 5 + 5x ≥ 5Domains for Real RootsState the domain for x in each root below.4) 2x 2x ≥ 02 2{x:x∈ Reals, x ≥ 0}x ≥ 05) 5x −15x −1≥0+ 1 + 1{x:x∈ Reals, x ≥1}5x ≥ 15 5 5x ≥15State the domain of the given functions.6) y =38) y =5xx − 3Domain: x > 0 Domain: x ≥ 0, x≠97)5x2(x + 4)y =9) y =x − 4(x − 3)(2x + 5)Domain: x∈Reals, Domain: x∈Reals,x ≠ 4x ≠ 3,x ≠−52Graphs of Square Root FunctionsGraph. State the domain and range.y = xy6x y50 0 = 041 1 = 132 2 ≈1.423 3 ≈1.714 4 = 25 5 ≈ 2.2 0 1 2 3 4 5 6x6 6 ≈ 2.4 Domain: x ≥ 0 Range: y ≥ 0Algebra Slide Show: Teaching Made Easy As Pi, by James Wenk © 2010