Exponential Functions Translation and Reflections

Which function represents a reflection of f(x) = 3/8(4)x across the y-axis?

Tags

CCSS.HSF.BF.B.3

How are the two functions f(x) = 0.7(6)^x and g(x) = 0.7(6)^-x related to each other?

• g(x) is the reflection of f(x) over the x-axis.

• g(x) is the reflection of f(x) over the y-axis.

• g(x) is the reflection of f(x) over both axes.

• g(x) and f(x) will appear to be the same function.

Tags

CCSS.HSF.BF.B.3

Which graph represents a reflection of f(x) = 6(0.5)^x across the x-axis?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Which graph represents a reflection of f(x) = 2(0.4)^x across the y-axis?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

Which graph represents a reflection of f(x) = 1/10(10)^x across the y-axis?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

Which graph is the result of reflecting f(x) = 1/4(8)^x across the y-axis and then across the x-axis?

• 
• 
• 
• 

The function g(x)=8(4^x) is reflected across the x-axis to create f(x).

What is the equation of f(x)?

• f(x)=8(4)^x

• f(x)=−8(4)^x

• f(x)=8 (1/4)^x

• f(x)=−8 (1/4)^x

Tags

CCSS.HSF.BF.B.3

The graph of f(x) = 6(0.25)^x and its reflection across the y-axis, g(x), are shown.

What is the domain of g(x)?

• all real numbers

• all real numbers less than 0

• all real numbers greater than 0

• all real numbers greater than or equal to 0

Tags

CCSS.HSF-IF.C.7E

• all real numbers

• all real numbers less than 0

• all real numbers greater than 0

• all real numbers less than or equal to 0

Which is the range of the function f(x) = 1/7(9)^x?

• all real numbers

• all real numbers less than 0

• all real numbers greater than 0

• all real numbers less than or equal to 0