Key Features of an Exponential Function

• Growth

• Decay

• Increases from left to right

• Decreases from left to right

• Growth

• Decay

• Increases from left to right

• Decreases from left to right

• all real numbers

• y>0

• y=0

• 1

• y<0

• y>-1

• 0

• -1

• x>0

• x<0

• (0,2)

• y=0

• (2,0)

• x=0

• (0.45,0)

• (0,0.45)

• Decay

• 0.45

• Growth

• 2

Label the key features of the exponential function.

a

c

y-intercept

x-intercept

axis of symmetry

horizontal asymptote

• all real numbers

• y>0

• y=0

• 1

• y<0

• y>-1

• 0

• -1

• x>0

• x<0

This graph models ​ (a)   . For this function, b is ​ (b)  

• exponential growth

• exponential decay

• a rational function

• greater than 1

• less than 1

• equal to 1

This graph models ​ (a)   . For this function, b is ​ (b)  

• exponential growth

• exponential decay

• a rational function

• greater than 1

• less than 1

• equal to 1

• 8

• y=0

• (0,8)

• 0.25

• (8,0)

• x=0