Properties of functions | math4u.vsb.cz

1003030404

Level:

C

Identify which of the following points lies on the graph of the inverse of function

f (x) = x^{3} + 2

.

[- 6; - 2]

[6; 2]

[- 2; - 6]

[- 6; 2]

[- 2; 6]

1003030405

Level:

C

Identify which of the following functions is the inverse of function

f (x) = - \frac{1}{2} x + 3

.

h (x) = - 2 x + 6

g (x) = - 2 x + 3

m (x) = - 2 x + \frac{1}{3}

n (x) = \frac{1}{2} x - 3

1003030406

Level:

C

Identify which of the following functions is the inverse of function

f (x) = \frac{2 x + 1}{x - 3}

.

h (x) = \frac{3 x + 1}{x - 2}

g (x) = \frac{x - 3}{2 x + 1}

m (x) = \frac{2 x - 1}{x + 3}

n (x) = \frac{3 x - 1}{x + 2}

1003107101

Level:

C

Complete the following true statement: The graph of a function

f (x)

is the reflection the graph of its inverse

f^{- 1} (x)

across the line

y = x

.

across the axis

x

.

across the axis

y

.

about the origin.

1103030407

Level:

C

Suppose function

f

is given by the graph. Identify which of the following graphs is the graph of the inverse of

f

.

1103030408

Level:

C

In one of the following pictures is the graph of the function

f

, which is not one-to-one function. Choose the picture.

1103107102

Level:

C

The graph of the function

f (x)

and its inverse

f^{- 1} (x)

is shown in one of the following pictures. Choose the picture.

1103107103

Level:

C

The graph of the function

f (x)

and its inverse

f^{- 1} (x)

is shown in one of the following pictures. Choose the picture.

1103107104

Level:

C

In one of the following pictures is the graph of the function

f

, which is not one-to-one function. Choose the picture.

2000002406

Level:

C

Which of the functions is one-to-one?

f (x) = x - 3

f (x) = | x + 1 |

f (x) = x^{3} - x

f (x) = x^{2}