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9000005707

Level:

Let

f

be the linear function

f (x) = - x + 4

restricted to the interval

x \in [- 3; 2]

. Find the range of

f

[2; 7]

[1; 6]

[- 3; 3]

[- 1; 2]

9000005802

Level:

Given the linear function

f (x) = - \frac{1}{4} x + 4

, evaluate

f (2 a) \cdot f (- 2 a) .

16 - \frac{a^{2}}{4}

0

4 - a^{2}

- 4 + a^{2}

9000004210

Level:

The function

g

is graphed in the picture. Find

g (0)

0

3

- 2

1

9000005705

Level:

Let

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

. Which value of the real parameter

a

in the definition of the function

f

guarantees

f (2) = 2

3

1

- 4

5

9000005708

Level:

Consider the linear function

f (x) = - 5 x + 4

and points

A = [1; - 1]

B = [- 2; - 14]

C = [3; - 11]

D = [- 4; 24]

. How many of these points lies on the graph of the function

f

3

1

2

4

9000005803

Level:

Identify an analytic expression of a linear function

f

which satisfies

f (- 2) = 5

and

f (4) = 2

f : y = - \frac{1}{2} x + 4

f : y = x - 2

f : y = - x + 6

f : y = - 2 x + 1

9000004209

Level:

The linear function

g

is graphed in the picture. Find the analytic expression for the function

g

y = - \frac{3}{2} x

y = \frac{3}{2} x

y = \frac{2}{3} x

y = - \frac{2}{3} x

9000005702

Level:

Given the linear function

f (x) = - 2 x + 3

, evaluate

f (2) + f (- 2)

6

0

3

- 8

9000004903

Level:

Find the domain of the function

f : y = \frac{3}{\log_{5} (x - 4)}

Dom (f) = (4; 5) \cup (5; \infty)

Dom (f) = (0; \infty) ∖ {4}

Dom (f) = (- 4; \infty) ∖ {5}

Dom (f) = (4; \infty)

9000005706

Level:

Let the function

f

be defined as a linear function with graph passing through the points

A = [2; 3]

and

B = [- 1; 6]

. Find an analytic expression for the function

f

f (x) = - x + 5

f (x) = x + 1

f (x) = 2 x - 1

f (x) = - 5 x + 1

A

9000005707

9000005802

9000004210

9000005705

9000005708

9000005803

9000004209

9000005702

9000004903

9000005706

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