Exponential functions

1103022403

Level:

The graph of exponential function

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

is below. Use the graph of

f

to identify which of the following graphs is the graph of

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

1103022402

Level:

Which of the equations is the equation of the horizontal asymptote of

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

? Function

f

is graphed in the figure.

y = - 2

y = - 3

x = - 2

x = - 3

1003022401

Level:

Which of the equations is the equation of the horizontal asymptote of

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

y = 3

y = - 3

x = 3

x = - 3

1003019612

Level:

Identify which of the following relations is correct.

2^{7} > 2^{2} > 2^{\frac{2}{5}} > 2^{- \frac{2}{5}} > 2^{- 6}

2^{- 6} > 2^{- \frac{2}{3}} > 2^{\frac{2}{5}} > 2^{2} > 2^{7}

2^{- \frac{2}{3}} > 2^{- 6} > 2^{\frac{2}{5}} > 2^{2} > 2^{7}

2^{- 6} > 2^{- \frac{2}{3}} > 2^{\frac{2}{5}} > 2^{7} > 2^{2}

1003019611

Level:

Identify which of the following relations is correct.

{(\frac{1}{5})}^{- 6} > {(\frac{1}{5})}^{- \frac{2}{3}} > {(\frac{1}{5})}^{\frac{2}{5}} > {(\frac{1}{5})}^{2} > {(\frac{1}{5})}^{7}

{(\frac{1}{5})}^{7} > {(\frac{1}{5})}^{2} > {(\frac{1}{5})}^{\frac{2}{5}} > {(\frac{1}{5})}^{- \frac{2}{5}} > {(\frac{1}{5})}^{- 6}

{(\frac{1}{5})}^{- \frac{2}{3}} > {(\frac{1}{5})}^{- 6} > {(\frac{1}{5})}^{\frac{2}{5}} > {(\frac{1}{5})}^{2} > {(\frac{1}{5})}^{7}

{(\frac{1}{5})}^{- 6} > {(\frac{1}{5})}^{- \frac{2}{3}} > {(\frac{1}{5})}^{\frac{2}{5}} > {(\frac{1}{5})}^{7} > {(\frac{1}{5})}^{2}

1003019610

Level:

What are the values of the real

a

, that satisfy inequality

a^{- 3} > a^{- 2}

0 < a < 1

a > 1

a < 1

a > 0

1003019609

Level:

What are the values of the real

a

, that satisfy inequality

a^{\frac{2}{5}} > a^{\frac{4}{5}}

0 < a < 1

a > 1

a < 1

a > 0

1003019608

Level:

Which of the relations between

m

and

n

ensures

{(\frac{5}{4})}^{m} < {(\frac{5}{4})}^{n}

m < n

m \geq n

m = n

m > n

1003019607

Level:

Which of the relations between

m

and

n

ensures

{(\frac{4}{5})}^{m} < {(\frac{4}{5})}^{n}

m > n

m \geq n

m = n

m < n

1103019606

Level:

Identify which of the following relations is correct. Use the graph of

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

given below.

{(\frac{1}{2})}^{- 6} > {(\frac{1}{2})}^{- \frac{2}{3}} > {(\frac{1}{2})}^{\frac{2}{5}} > {(\frac{1}{2})}^{2} > {(\frac{1}{2})}^{7}

{(\frac{1}{2})}^{7} > {(\frac{1}{2})}^{2} > {(\frac{1}{2})}^{\frac{2}{5}} > {(\frac{1}{2})}^{- \frac{2}{5}} > {(\frac{1}{2})}^{- 6}

{(\frac{1}{2})}^{- \frac{2}{3}} > {(\frac{1}{2})}^{- 6} > {(\frac{1}{2})}^{\frac{2}{5}} > {(\frac{1}{2})}^{2} > {(\frac{1}{2})}^{7}

{(\frac{1}{2})}^{- 6} > {(\frac{1}{2})}^{- \frac{2}{3}} > {(\frac{1}{2})}^{\frac{2}{5}} > {(\frac{1}{2})}^{7} > {(\frac{1}{2})}^{2}

1103022403

1103022402

1003022401

1003019612

1003019611

1003019610

1003019609

1003019608

1003019607

1103019606

Events

Akce

Interests

Zajímavosti

About portal

O portálu