Exponential Graphs

Exponential Graphs

f(x)=ab^x

Growth and Decay

•  $b>1\rightarrow$  GROWTH

•  $b<1\rightarrow$   DECAY

Multiple Choice

Is this function growth or decay?

• Growth

• Decay

Multiple Choice

Is this function growth or decay?

• Growth

• Decay

Multiple Choice

 $f\left(x\right)=\left(\frac{1}{2}\right)^x$  Is this function growth or decay?

• Groeth

• Decay

Multiple Choice

 $f\left(x\right)=4\left(7\right)^x$  Is this function growth or decay?

• Growth

• Decay

Transformations

• negative a = flip (reflect)

• opposite of h = right and left

• k = up and down

horizontal shifts

Vertical shift

Reflections

Multiple Select

What trnasformations are happening to the exponential function?

• up 1

• right 2

• right 3

• down 2

• left 2

Multiple Choice

The red and blue lines are reflected over which axis?

• y-axis

• x-axis

Open Ended

What transformation is this exponential function going through.