Exponential Transformations

The function y = (2)^-x can be rewritten as:

• y = (1/2)^-x 
• y = (1/2)^x 
• y = -(1/2)^x 
• It can't be rewritten.

Is the function INCREASING or DECREASING?
  y = (2/3)^-x

• Increasing
• Decreasing

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

How would you change the function so that it is decreasing?
y = 3(2)^x

• Change the x to -x
• Change the 2 to -2
• Change the 3 to 7
• Change the x to t

Tags

CCSS.HSF.LE.A.2

What is the range of this function? 

• (-∞,0)
• (0,∞)
• (-∞,4)
• (4,∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the equation of the horizontal asymptote?

• y=1
• y=0

Tags

CCSS.HSF-IF.C.7D

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

Tags

CCSS.HSF-IF.C.7E

What kind of transformation is represented?

• up 1 unit
• left 1 unit
• right 1 unit 
• down 1 unit

Tags

CCSS.HSF.BF.B.3

What is the transformation?

• Horizontal Translation left 2
• Vertical Translation down 2
• None
• Reflection across the line y=0

Tags

CCSS.HSF.BF.B.3

y=-4^{(x+1) 
Describe the translation}

• Reflected over y=1 and right 1 
• Reflected over y=0 and left 1
• Reflected over y=0
• Reflected over y=0 and right 1

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Compare f(x) = 3^x- 4 with the basic function g(x) = 3^x

• 4 units up
• 4 units to the left
• 4 units to the right
• 4 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

CCSS.HSF.IF.C.9