Intro to Graphing Exponentials

Mon Oct 22nd / Tue Oct 23rd

RememberExponent Rules…

• 33

• 5-2

Vocabulary• Exponential Function – has the form y = abx,

where a ≠ 0 and the base b is a positive number other than 1.

• If a > 0 and b > 1, then the function y = abx is an Exponential Growth Function, and b is called the Growth Factor

• Exponential Decay Function – has the form y = abx, where a > 0 and

0 < b < 1 (this means b is a fraction)

Ex 1) Growth

2xy

Ex 2) Decay

1

2

x

y

Ex 3)

2 3xy

Ex 4)

123

x

y

Growth vs Decay

Ex 5)3

2

x

y

Try these

• 6)

• 7)

• 8)

3xy

122

x

y

2 2xy

Ex 6)3xy

X Y

-2

-1

0

1

2

Ex 7)122

x

y

X Y

-2

-1

0

1

2

Ex 8)

X Y

-2

-1

0

1

2

2 2xy

Graphing y = abx-h+k• h – moves graph left and right (opposite)

• k – moves graph up and down