g(y)
Definition
Similar to f(x), g(y) represents another function where y is the input and g(y) is the output. It also shows the relationship between the input and output values of a mathematical expression.
Analogy
Imagine g(y) as a music player. You select a song by choosing an input (y), and it plays the corresponding output (g(y)). Just like with functions, g(y) connects specific inputs to specific outputs.
Related terms
Composite Function: A combination of two or more functions, where one function's output becomes another function's input.
Inverse Function: A function that "undoes" another function, swapping its inputs with outputs.
Transformations: Modifying functions by shifting, stretching, or reflecting them on a coordinate plane.
"g(y)" appears in:
Practice Questions (3)
Consider a region defined by the function g(y) = √(4-y^2), revolved around the y-axis from y = 0 to y = 2. What is the volume of the solid formed by this revolution?
Consider a region defined by the function g(y) = 2 + y^2, revolved around the y-axis from y = -2 to y = 2. What is the volume of the solid formed by this revolution?
Consider a region defined by the functions g(y) = 2y and k(y) = 3y, revolved around the w-axis from y = 0 to y = 1. What is the volume of the solid formed using the Washer Method?
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