Math Problem Statement

The image contains various exercises related to reflections and transformations of functions, including determining the equation after reflections in the x-axis and y-axis, describing the transformations, and analyzing the domain and range of transformed functions. Specific tasks include finding the equation for functions g(x) after a reflection in the x-axis and y-axis, and describing transformations of functions such as f(x) = √x and f(x) = 1/x.

Solution

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Math Problem Analysis

Mathematical Concepts

Reflections of Functions
Transformations of Functions
Domain and Range

Formulas

g(x) = f(-x) (reflection in the y-axis)
g(x) = -f(x) (reflection in the x-axis)
y = f(x - d) + c (translation formula)

Theorems

Reflection Theorem for Functions
Transformation Theorem

Suitable Grade Level

Grades 9-12

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