Exponential Growth/Decay

What does the a represent in the equation

 $f\left(x\right)=a\left(b\right)^x$  

• Slope

• Y-intercept

• Rate of Change

• Common ratio

Identify which functions are exponential.

• f(x) = 2x - 5

• g(x) = 3^x

• k(x) = 3x⁴ - 6x + 9

• 
  

  $k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x$

Given the equation below determine the y-intercept.

 $y=3^x$  

• (0, 1)

• (0, 3)

• x= 0

• y = 0

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

Which graph is representative of the equation?

• 
• 
• 
• 

What is the y-intercept of the function f(x)=2(4)^x ?

• 2

• 4

• (4)^x

• 8

Determine which function models exponential growth.

• $g\left(x\right)=3\cdot2^x$

• $k\left(x\right)=\left(\frac{1}{3}\right)^x$

• $m\left(x\right)=3\cdot\left(\frac{2}{3}\right)^x$

• $p\left(x\right)=4x^2+5x-9$

Determine which functions model exponential decay.

• $g\left(x\right)=3\cdot2^x$

• $k\left(x\right)=\left(\frac{1}{3}\right)^x$

• $m\left(x\right)=3\cdot\left(\frac{2}{3}\right)^x$

• $p\left(x\right)=4x^2+5x-9$

Which the following graphs represents an exponential decay equation?

• 
• 
• 
• 

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None