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Functions and Function Notation NAME: DATE: PERIOD: 1. Evaluate the following expressions given the functions below:g(x) 3x + 1f(x) x2 + 7a. G(10) b. f(3) c. h(2) d. j(7) e. h(a)f. G(b+c)h. Find x
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To fill out functions and function notation, follow these steps:
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Start by understanding the concept of a function. A function is a relation between a set of inputs (called the domain) and a set of outputs (called the range), such that each input is related to exactly one output.
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Identify the function notation. It typically appears as f(x) or g(x), where 'f' or 'g' represents the name of the function and 'x' represents the input value or variable.
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Determine the domain of the function, which is the set of all possible input values for the function. It may be specified explicitly or implicitly.
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Define the function using the appropriate notation. For example, if you have a function f(x) = 2x + 3, it means that for any given input value 'x', the output is obtained by multiplying it by 2 and adding 3.
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Evaluate the function by substituting specific values or variables into the function notation. For example, to find the value of f(4), replace 'x' in the function f(x) = 2x + 3 with 4, resulting in f(4) = 2(4) + 3 = 11.
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Simplify the function if necessary. This involves performing any required operations such as addition, subtraction, multiplication, or division.
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Repeat these steps for any additional functions or function notations that need to be filled out.
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Function and function notationname refer to the mathematical concept of a relation between input values and output values, often denoted as f(x) where x is the input.
Anyone using mathematical functions and notation in their work or academic studies may be required to understand and use function notation.
To fill out function notation, you typically replace the variable (such as x) with a specific value to find the corresponding output value.
The purpose of using functions and function notation in mathematics is to describe and analyze relationships between variables and facilitate calculations.
When reporting functions and function notation, it is important to include the function, the input values, the output values, and any relevant mathematical operations or interpretations.
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