Reflections of Exponential Functions: Assignment

The function f(x) = -7/2(5/3)x is reflected over the y-axis to create g(x). Which points represent ordered pairs on g(x)? Check all that apply.

1. (-7, -10.206) 4. (0.5, -0.221) 6. (9, -0.003)

Consider the three functions: f(x) = 3/2(4)x g(x) = 3/2(4)-x h(x) = -3/2(4)x

1. f(x) has a domain of all real numbers. 4. g(x) has a domain of all real numbers.

Which functions could represent a reflection over the y-axis of the given function? Check all that apply.

2. g(x) = 0.5(4)-x 4. g(x) = 1/2(1/4)^x

Which graph represents a reflection across the x-axis of g(x) = 3/4(3)x?

B. Graph 2

An exponential function f(x) is reflected across the y-axis to create function g(x). Which is a true statement regarding f(x) and g(x)?

B. The two functions have the same initial value.

The function f(x) = 2(3.5)x is reflected across the x-axis to create g(x). What is the function definition of g(x)? g(x) =____(3.5x) What is the initial value of g(x)? What are the outputs for inputs of -1 and 1 in g(x)? g(−1) = ____ g(1) = ___

Blank 1: -2 Blank 2: -2 Blank 3: -0.57 Blank 4: -7

Which function represents a reflection of f(x) = 2(0.35)x over the y-axis?

C. h(x) = 2(0.35)-x

The function f(x) = 0.11(3)x is reflected over the x-axis to produce function g(x). Function g(x) is then reflected over the y-axis to produce function h(x). Which function represents h(x)?

D. h(x) = -0.11(3)-x

Which function represents a reflection of f(x) = 3/7(2)x over the x-axis?

g(x) = -3/7(2)x