11. Which of the following relations is NOT one-to-one function?
a. Vehicles to plate numbers
b. Mayors to town
c. Students to ID number
d. Teachers to students
13. Which of the relations is NOT a one-to-one functions?
a. { (0,0), (1,1), (2,2), (3,3), (4,4) }
b. { (-4,1), (-3,2), (-2,3), (-1,4), (0,5) }
c. { (1,-1), (2,-2), (3,-3), (4,-4), (5,-5) }
d. { (4,4), (4,3), (5,2), (6,1), (7,0) }
14. The graphs of the function and its inverse is (are)
a. The same.
b. Symmetric with respect to the line y = x.
c. Symmetric with respect to the origin.
d. Both passing through the origin.
16. The inverse of the function
[tex]f(x) = \frac{2 - 3x}{x + 1} \: is \: equal \: to[/tex]
[tex]a. \: f^ - 1(x) = \frac{2 - x}{x + 3} [/tex]
[tex]b. \: f^ - 1(x) = \frac{2 + x}{x + 3} [/tex]
[tex]c.f^ - 1(x) = \frac{x - 2}{x + 3} [/tex]
[tex]d. \: f^ - 1(x) = \frac{2 - x}{x - 3} [/tex]
17. The inverse of the function
[tex]f(x) = x^3 - 1 \: is \: equal \: to[/tex]
[tex]a. \: \sqrt[3]{x + 1} [/tex]
[tex]b. \: \sqrt[3]{x + 1} [/tex]
[tex]c. \: \sqrt[3]{x - 1} [/tex]
[tex]d. \: no \: inverse[/tex]
Answers & Comments
Answer:
11.c
12.d
13.a
14.b
15.a
16.c
17.d
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