Per Find the inverse of each function. 1. y = 2x + 1 X: 2441 2. y = -3+* 3. y = x² + 8 X- -3+ +3 t) + 8 %3D Find the inverse of each function. Then graph the function and its inverse. For linear functions, graph the new line. For parabolas, graph the parabola using the parent function and then identify points and switch the x and y values to graph the inverse. 4. y =-x-1 5. y = g=- 2.X= 6- 9.2 6-x Sx+5: -24 6. y = -+2 3. X-3=- 9= zx-6 -7 - 7 -6 -- 3x-9-Y 7. f(x) = x? - 2 7. (2) = x² - 2 (k+2)-y 8. f(x) %3D3x리 9. f(x) = -x? - 3 %3D

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Number 13
Algebra 2B
Unit 11
Per
11.3 Graphing and Verifying Inverse Relations & Functions
Find the inverse of each function.
1. y = 2x + 1
2. y = -3+x
3. y = x2 + 8
X: 2441
1-
1-
+3 t)
t8
+8
J. X+3=5
Find the inverse of each function. Then graph the function and its inverse.
For linear functions, graph the new line.
For parabolas, graph the parabola using the parent function and then identify points and switch
the x and y values to graph the inverse.
4. y = -x
X=-
5. y = 9=-
2.X= 6-9.2
5x+5=-24
6. y = -+2 3. x-3=-3
3x-2 = -X
5. A+l= -2
59
- ?
1-
7. f(x) = }x² – 2 (x+2) -9
8. f(x) = -x² ,
9. f(x) = -x2 – 3
12
+3
t3
Transcribed Image Text:Algebra 2B Unit 11 Per 11.3 Graphing and Verifying Inverse Relations & Functions Find the inverse of each function. 1. y = 2x + 1 2. y = -3+x 3. y = x2 + 8 X: 2441 1- 1- +3 t) t8 +8 J. X+3=5 Find the inverse of each function. Then graph the function and its inverse. For linear functions, graph the new line. For parabolas, graph the parabola using the parent function and then identify points and switch the x and y values to graph the inverse. 4. y = -x X=- 5. y = 9=- 2.X= 6-9.2 5x+5=-24 6. y = -+2 3. x-3=-3 3x-2 = -X 5. A+l= -2 59 - ? 1- 7. f(x) = }x² – 2 (x+2) -9 8. f(x) = -x² , 9. f(x) = -x2 – 3 12 +3 t3
Determine whether the functions listed below are inverse functions by showing
13. The Clearys are replacing the flooring in their 15 foot by 18 foot kitchen. The new flooring costs $17.99 per
[f• g](x) = [g • f](x) = x.
11. f(x) = 2x + 3
10. f(x) = x -1
g(x) = 1-x
g(x) =D 글 (x-3)
12. f(x) = 5x-5
g(x) =x+ 1
b. What will the new flooring cost the Clearys?
14.
16.
1. What is the inverse of function f(x) graphed below?
TEKS A22(B) AP A21(B), A21(D)
TEKS REVIEW Which function is the inverse of the function fx) =+2,
A f-1(x) =-
B f-(x) = –+2
c F'(x} = 2x – 2
D f(x) = 2x – 4
-2
15.
57. The inverse relation of which function is not a
function? TEKS A22(C) A21(F)
A fx) =x² – 2
B Ax) = 2r3 + 3
C fz) = Vx- 3
D fx) – 2x + 1
A f-(x) = 2
B fe) = 글
C f-4x) = – 2
Df(x) = -2x - 2
Transcribed Image Text:Determine whether the functions listed below are inverse functions by showing 13. The Clearys are replacing the flooring in their 15 foot by 18 foot kitchen. The new flooring costs $17.99 per [f• g](x) = [g • f](x) = x. 11. f(x) = 2x + 3 10. f(x) = x -1 g(x) = 1-x g(x) =D 글 (x-3) 12. f(x) = 5x-5 g(x) =x+ 1 b. What will the new flooring cost the Clearys? 14. 16. 1. What is the inverse of function f(x) graphed below? TEKS A22(B) AP A21(B), A21(D) TEKS REVIEW Which function is the inverse of the function fx) =+2, A f-1(x) =- B f-(x) = –+2 c F'(x} = 2x – 2 D f(x) = 2x – 4 -2 15. 57. The inverse relation of which function is not a function? TEKS A22(C) A21(F) A fx) =x² – 2 B Ax) = 2r3 + 3 C fz) = Vx- 3 D fx) – 2x + 1 A f-(x) = 2 B fe) = 글 C f-4x) = – 2 Df(x) = -2x - 2
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