function xtra question

8/3/2019 Function Xtra Question

1/4

Homework Assignment 1 Inverses

Find the inverse of each relation and determine whether the inverse is a function. Answer (A) if the

inverse IS a function or answer (B) if the inverse is NOT a function.

1. {(2, 4), ( 3, 1), (2, 8)} 2. {( 1, 2), ( 3, 2), (1, 4), (0, 6)}

3. {( 1, 3), (1, 1), (1, 3), (1, 1)} 4. {(6, 11), ( 2, 7), (0, 3), ( 5, 3)}

Determine whether the given function is one-to-one. Answer (A) if the function IS a one-to-one oranswer (B) if the function is NOT one-to-one.

5. y = 6 6. y = 4x 7. f(x) = 4x + 4

8. g(x) = x + 2 9. f(x) = x

3/5

10. g(x) = x

4/5

2

11. y = x2 9 12. y = (x 9)2 13. f(x) =

14. y = x2

+ 1 15. y = (x 4)3

16. y = (x + 2)5

3

Determine whether the given functions are strictly monotonic. Answer (A) if the function IS a strictly

monotonic or answer (B) if the function is NOT strictly monotonic.

17. f(x) = x3 3 18. f(x) = 4x 8

19. f(x) = 5x + 20 20. f(x) = (x + 1)2

21. f(x) = 22. f(x) = x2 3

Answer the following:

23.The function is invertible. Give .a. -1b. 0c.

1d. 1/2

e. None of these.24.The function is invertible. Give .

a. 1/2b. -2c. 2d. -1/2e. None of these.

2x 1

3

x

( ) 2 3 f x x= + 1(3)f

( ) 2 3 f x x= +( )1

df x

dx


2/4

25.The function is invertible. Give the slope of the tangent line to the graph ofat x = 2.

a. -1/2b. 4c. 1/4d. 2e. None of these.

26.The function is invertible. Give .a. 1b. 2c. -1d. 1/2e. None of these.

27.The function is invertible. Give the slope of the tangent line to the graphof at x = 2.

a. 1b. 2c. -1d.

1/2e. None of these.

28.The graph of f is shown below. Determine whether f is invertible.

a. The function is invertible.b. The function is not invertible.

3( ) f x x x= +

1( )f x

3( ) f x x x= + 1(2)f

( ) 2 3 f x x= +

1( )f x


3/4

29.The graph of f is shown below. Determine whether f is invertible.

a. The function is invertible.b. The function is not invertible.

30.Determine whether is invertible.c. The function is invertible.d. The function is not invertible.

31.The function is invertible. Give .a. -1b. -2c. 1/2d. 2e. 1f. None of these.

32.The function is invertible. Give the y-intercept for the tangent lineto the graph of at x = 0.

a. -3b. -2c. -1d. 1e. 2f. None of these.

4 3( ) 3 1 f x x x= + +

5 3( ) 3 1 f x x x x= + + + ( )1

'(1)f

5 3( ) 3 1 f x x x x= + +

1( )f x


4/4

33.Suppose and . Give the slope of the tangent line to the graph ofat x = 3.

a. -3b. -2c. 1d. 2e. 3f. None of these.

( )

1

' (1) 1/ 3f

=

( )3 1f=

( )f x

function xtra question

Documents