Fungsi Eksponensial ~ Teori Pemograman

The "basic" exponential function is the function

y = a^{x}

where

a

is some positive constant.

For example, the graph of

y = 2^{x}

looks like this:

Note that:

1

.The

y

-intercept is

1

(no matter what the value of

a

is).

a

2

.The graph approaches the

x

-axis asymptotically as

x

goes to negative infinity (or as

x

goes to positive infinity, if

0 < a < 1

0 < a < 1

3

.The graph is always positive (never zero or negative).

The exponential function can be shifted

k

units upwards and

h

units to the right with the equation:

y = a^{x - h} + k

Example:

Graph the equation.

y = 2^{x - 3} + 2

Start with the "basic" exponential graph

y = 2^{x}

Then shift the graph three units to the right and two units up.

Teori Pemograman