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9000003101

Level:

A

Identify a possible analytic expression for the function graphed in the picture.

y = \frac{1}{2 x}

y = \frac{2}{x}

y = - \frac{2}{x}

y = - \frac{1}{2 x}

9000003102

Level:

A

Identify a possible analytic expression for the function graphed in the picture.

y = - \frac{2}{x}

y = \frac{2}{x}

y = \frac{1}{2 x}

y = - \frac{1}{2 x}

9000003701

Level:

A

Identify a possible analytic expression for the exponential function graphed in the picture.

y = 2^{x - 1} - 2

y = 2^{x + 1} - 2

y = 2^{x + 1} + 2

y = 2^{x - 1} + 2

9000003804

Level:

A

In the following list identify the point that is not a point on the graph of the function:

f (x) = 1 - \log_{3} x

[0; 1]

[3; 0]

{[\frac{1}{9}; 3]}_{}

[1; 1]

[\frac{1}{3}; 2]

[9; - 1]

9000003807

Level:

A

In the following list identify a negative expression.

\log_{0.1} 20 - \log_{0.1} 0.2

\log_{3} 9^{2.5} - \log_{4} 4^{0.5}

\log_{4} 16^{\frac{3}{2}} + \log_{3} 3^{\frac{1}{4}}

\log_{3} 7 + \log_{3} \frac{81}{7}

9000003702

Level:

A

In the following list identify a function whose graph passes through the points

[3; 0]

and

[5; 3]

.

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

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

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

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

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

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

9000003703

Level:

A

In the following list identify a point which is not on the graph of the function

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

.

C = [- 2; 6]

A = [- 1; 0]

B = [1; \frac{8}{3}]

D = [0; 2]

E = [- 3; - 24]

F = [2; \frac{26}{9}]

9000004201

Level:

A

Consider the function

f (x) = 3 x - 6

,

x \in (- \infty; 3]

. Find the range of

f

.

(- \infty; 3]

[3; \infty)

R

(- \infty; 3)

9100009903

Level:

A

The resistance

R

of a wire is a function of a material constant

ρ

, the length

l

and the cross section

S

. It can be computed from the formula

R = ρ \cdot \frac{l}{S} .

Assuming two of the quantities are inversely proportional when the other two quantities are constant, identify the graph which describes this relationship properly.

9100004002

Level:

A

Identify a possible graph of the function

g (x) = | x - 2 |

.