## All Tasks

#### Study of horizontal asymptote

Let the function
$f(x)=\frac{e^x+x}{e^x}$,
we can say that

# Exponential function

Training

11

#### Comparison of functions

Are
$f(x)=\log_2{\frac{4x^2-2x}{2x-1}}$
and
$g(x)=1+\log_2x$
the same function?

# Logarithmic function

Reasoning

11

#### Fall Time of a Stone

About the previous task, $v(t) = 2,5 (1 - e^{-0,1t})$ after what amount of time is the stone sinking with a velocity of $2 m/s$?

# Parametric functions

Modeling

11

#### Calculating Natural Logarithm

Solve the following equation: $e^ {x+2}=21$. The result shall be rounded to three places to the right of the decimal point.

# Logarithm properties

Training

11

#### Euler's number $e$

$e$

# Exponential properties

Learning

10

#### Derivative of log

Which of these graphs is the one of the derivative of the logarithmic function?

# Derivation of functions

Reasoning

10