Exponential functions

1103037401

Level:

The graph of the function

3^{x} - 9

is below. What is the domain of

f

(- \infty; \infty)

(- 9; \infty)

(- \infty; 9)

[- 9; \infty)

1103037402

Level:

The graph of the function

- {0.3}^{x} + 4

is below. What is the range of

f

(- \infty; 4)

(4; \infty)

(- \infty; 4]

(- \infty; \infty)

2010010203

Level:

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

[2; 6]

and

[4; 14]

f (x) = {(\frac{1}{3})}^{2 - x} + 5

f (x) = {(\frac{1}{3})}^{2 - x} - 5

f (x) = {(\frac{1}{3})}^{x - 2} - 5

f (x) = 5 - {(\frac{1}{3})}^{x - 2}

f (x) = 5 + {(\frac{1}{3})}^{x - 2}

f (x) = 5 - {(\frac{1}{3})}^{2 - x}

2010010204

Level:

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

f (x) = 4 - {(\frac{1}{2})}^{x}

A = [- 2; 8]

B = [1; \frac{7}{2}]

C = [- 1; 2]

D = [0; 3]

E = [- 3; - 4]

F = [2; \frac{15}{4}]

2010013004

Level:

What value takes the function

f (x) = 9^{x}

for the value of the argument

x = - \frac{3}{2}

\frac{1}{3^{3}}

27

\frac{1}{\sqrt[3]{81}}

\frac{1}{81}

2010013005

Level:

What value takes the function

f (x) = 8^{x}

for the value of the argument

x = - \frac{2}{3}

0.25

4

\frac{1}{2^{3}}

\frac{1}{\sqrt[3]{8}}

2010013006

Level:

Find the range of a function

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

(- 3; \infty)

(1; \infty)

(- \infty; - 3)

(3; \infty)

2010013007

Level:

Find the range of the function

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

(2; \infty)

(- 2; \infty)

(- \infty; 2)

(1; \infty)

2010013008

Level:

Given the function

f (x) = 3^{x} + 1

, find the value of the function

g (x) = f (x + 1)

for

x = 2

28

16

25

10

2010013009

Level:

Given the function

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

, find the value of the function

g (x) = f (x + 1) - 1

for

x = 2

4

2

6

5

1103037401

1103037402

2010010203

2010010204

2010013004

2010013005

2010013006

2010013007

2010013008

2010013009

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