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The "cubing" function: f(x) = x³ Domain: 2-3,2-1,-05,0,12,133 Range: -27,-8,-1,125,041,8273 Is this function a one-to-one function? YES The reciprocal function: Domain: f(x) = -1/ 2-3,2-1,-05, 02241/12, 133 {-13₁-12₁-11-Xasp0.51283 Range: Is this function a one-to-one function? YES NO Domain: The square-root function: f(x)=√x Domain: NO YES [0,00] (Circle one) Range: Is this function a one-to-one function? YES The cube-root function: NO (Circle one) f(x) = √√x (-00,00) Range: -00,00) Is this function a one-to-one function? (Circle one) NO (Circle one) x -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 1 2 V3 x -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) -27 -8 -0.125 O 125 0 27 f(x) -1/3 4/2 -T 4/5 0 0.5 2 3 f(x) undefined undefined undefined undefined .10 KU 1.41 173 f(x) -3 -1.44 -2 1-1.25 -1 -0.5 0 0.5 1 2 3 -0.8 0 .80 1.25 11.44

The "cubing" function: f(x) = x³ Domain: 2-3,2-1,-05,0,12,133 Range: -27,-8,-1,125,041,8273 Is this function a one-to-one function? YES The reciprocal function: Domain: f(x) = -1/ 2-3,2-1,-05, 02241/12, 133 {-13₁-12₁-11-Xasp0.51283 Range: Is this function a one-to-one function? YES NO Domain: The square-root function: f(x)=√x Domain: NO YES [0,00] (Circle one) Range: Is this function a one-to-one function? YES The cube-root function: NO (Circle one) f(x) = √√x (-00,00) Range: -00,00) Is this function a one-to-one function? (Circle one) NO (Circle one) x -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 1 2 V3 x -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) -27 -8 -0.125 O 125 0 27 f(x) -1/3 4/2 -T 4/5 0 0.5 2 3 f(x) undefined undefined undefined undefined .10 KU 1.41 173 f(x) -3 -1.44 -2 1-1.25 -1 -0.5 0 0.5 1 2 3 -0.8 0 .80 1.25 11.44

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Can someone tell me if my range and domain are correct. If not how do I get my answer?

By Marh B₂ MATH 141 Section 1.1: Basic "Toolkit" Functions Name: For each so-called "toolkit" function below, complete the table (round to nearest 0.01), sketch the graph, state the domain & range, and state if the function is one-to-one. Submit it at the start of class on Jan. 19. A constant function: Domain: Range: f(x) = 3 {-3,₁-2,-1,-0.5,0,1,2,3} 33 Is this function a one-to-one function? YES The "identity" function: f(x) = X Domain:3, -2,-1,-0.5,0,0.5, 1,2,3 Range: £3-2,-1,-059051,233 Is this function a one-to-one function? YES Domain: Range: YES NO The absolute value function: f(x) = |x| 3,2,105,03 3,2,1,05.03 Is this function a one-to-one function? Domain: (Circle one) NO YES (Circle one) The "squaring" function: f(x) = x² €3-2-1-25942 ६9,411125,9-25,3 Range: Is this function a one-to-one function? NO (Circle one) NO (Circle one) X -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) M M M M M M 3 3 3 3 3 3 3 3 3 f(x) -3 -2 ET -05 O 05 2 3 f(x) 2 05 2 3 f(x) X -3 -2 -1 -0.5 -25 0 0.5 1 2 3 9 4 25 q 5 GOOOOO OF 5 y 5 3 b X X X X
Transcribed Image Text:By Marh B₂ MATH 141 Section 1.1: Basic "Toolkit" Functions Name: For each so-called "toolkit" function below, complete the table (round to nearest 0.01), sketch the graph, state the domain & range, and state if the function is one-to-one. Submit it at the start of class on Jan. 19. A constant function: Domain: Range: f(x) = 3 {-3,₁-2,-1,-0.5,0,1,2,3} 33 Is this function a one-to-one function? YES The "identity" function: f(x) = X Domain:3, -2,-1,-0.5,0,0.5, 1,2,3 Range: £3-2,-1,-059051,233 Is this function a one-to-one function? YES Domain: Range: YES NO The absolute value function: f(x) = |x| 3,2,105,03 3,2,1,05.03 Is this function a one-to-one function? Domain: (Circle one) NO YES (Circle one) The "squaring" function: f(x) = x² €3-2-1-25942 ६9,411125,9-25,3 Range: Is this function a one-to-one function? NO (Circle one) NO (Circle one) X -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) M M M M M M 3 3 3 3 3 3 3 3 3 f(x) -3 -2 ET -05 O 05 2 3 f(x) 2 05 2 3 f(x) X -3 -2 -1 -0.5 -25 0 0.5 1 2 3 9 4 25 q 5 GOOOOO OF 5 y 5 3 b X X X X
By Marh B₂ MATH 141 Section 1.1: Basic "Toolkit" Functions Name: For each so-called "toolkit" function below, complete the table (round to nearest 0.01), sketch the graph, state the domain & range, and state if the function is one-to-one. Submit it at the start of class on Jan. 19. A constant function: Domain: Range: f(x) = 3 {-3,₁-2,-1,-0.5,0,1,2,3} 33 Is this function a one-to-one function? YES The "identity" function: f(x) = X Domain:3, -2,-1,-0.5,0,0.5, 1,2,3 Range: £3-2,-1,-059051,233 Is this function a one-to-one function? YES Domain: Range: YES NO The absolute value function: f(x) = |x| 3,2,105,03 3,2,1,05.03 Is this function a one-to-one function? Domain: (Circle one) NO YES (Circle one) The "squaring" function: f(x) = x² €3-2-1-25942 ६9,411125,9-25,3 Range: Is this function a one-to-one function? NO (Circle one) NO (Circle one) X -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) M M M M M M 3 3 3 3 3 3 3 3 3 f(x) -3 -2 ET -05 O 05 2 3 f(x) 2 05 2 3 f(x) X -3 -2 -1 -0.5 -25 0 0.5 1 2 3 9 4 25 q 5 GOOOOO OF 5 y 5 3 b X X X X
Transcribed Image Text:By Marh B₂ MATH 141 Section 1.1: Basic "Toolkit" Functions Name: For each so-called "toolkit" function below, complete the table (round to nearest 0.01), sketch the graph, state the domain & range, and state if the function is one-to-one. Submit it at the start of class on Jan. 19. A constant function: Domain: Range: f(x) = 3 {-3,₁-2,-1,-0.5,0,1,2,3} 33 Is this function a one-to-one function? YES The "identity" function: f(x) = X Domain:3, -2,-1,-0.5,0,0.5, 1,2,3 Range: £3-2,-1,-059051,233 Is this function a one-to-one function? YES Domain: Range: YES NO The absolute value function: f(x) = |x| 3,2,105,03 3,2,1,05.03 Is this function a one-to-one function? Domain: (Circle one) NO YES (Circle one) The "squaring" function: f(x) = x² €3-2-1-25942 ६9,411125,9-25,3 Range: Is this function a one-to-one function? NO (Circle one) NO (Circle one) X -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 0.5 1 2 3 X -3 -2 -1 -0.5 0 0.5 1 2 3 f(x) M M M M M M 3 3 3 3 3 3 3 3 3 f(x) -3 -2 ET -05 O 05 2 3 f(x) 2 05 2 3 f(x) X -3 -2 -1 -0.5 -25 0 0.5 1 2 3 9 4 25 q 5 GOOOOO OF 5 y 5 3 b X X X X
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