Reflections of Exponential Functions

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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 y-axis.

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

First image A

Consider the three functions below.

f(x) = -6/11 (11/2)x g(x) = 6/11 (11/2)-x h(x) = -6/11 (11/2)-x

Which statement is true?

The ranges of f(x) and h(x) are different from the range of g(x).

Which function represents g(x), a reflection of f(x) = 6 (1/3)x across the y-axis?

g(x) = 6(3)x

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

g(x) = 3/8 (4)-x

Which function represents g(x), a reflection of f(x) = 2/5 (10)x across the x-axis?

g(x) = -2/5 (10)x

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

What is the equation for f(x)?

-8

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

First image A

Which function represents g(x), a reflection of f(x) = 6(1/3)x across the y-axis?

g(x) = 6(3)x

Which function represents a reflection of f(x) = 5(0.8)x across the x-axis?

g(x) = -5(0.8)x

Which function represents g(x), a reflection of f(x) = 1/2 (3)x across the y-axis?

g(x) = 1/2 (3)−x

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

Second image B

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

The function f(x) = 3/4 (10)-x is reflected across the x-axis to create the function g(x). Which ordered pair is on g(x)?

(2, -3/400)

Which best describes the range of the function f(x) = 2/3 (6)x after it has been reflected over the x-axis?

all real numbers less than 0

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