Multiple Representations of Exponential Functions

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

Given g(x)=5^x
Write a function that is reflected over the line x=0 and translated 4 units to the right. 

• f(x)= -5^x-4
• f(x)= -5^x+4
• f(x)= 5^(x-4)
• f(x)= 5^-(x-4)

Tags

CCSS.HSF.BF.B.3

Given g(x)=(1/2)^x
Write a function that is reflected over the line y=0 and translated 4 units up. 

• f(x)= -(1/2)^x+4
• f(x)= -(1/2)^x+4
• f(x)= (1/2)^x-4
• f(x)= -(1/2)^x+4

Tags

CCSS.HSF.BF.B.3

Given y=4^(x+1) determine the y-intercept

• (0,1)
• (0,4)

Tags

CCSS.HSF-IF.C.7E

What transformations have happened to f(x) = 2^x if the new equation is
 g(x) = -2^(x+3) -6

• It stayed the same
• reflects, up 3, left 6
• reflects, right 3, down 6
• reflects, left 3, down 6

Tags

CCSS.HSF.BF.B.3

What transformations occur in the following function?

• right 3, up 2
• left 3, up 2
• left 3, down 2
• right 3, down 2

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

Given f(x) = 4^x and the translated function 
g(x) = 4^-x +6, which translation would result in a change of the range? 

• Reflection over the line x=0
• Vertical shirt of 6 units up
• Neither

Tags

CCSS.HSF.BF.B.3

Which function represents the table of values? 

• f(x) = 4x
• f(x) = x³
• f(x) = 4^x
• f(x) = 4^x-1

Tags

CCSS.HSF.LE.A.2