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Questions and Answers
What is the formula for the function described in the text?
What is the formula for the function described in the text?
$f(x) = 5 - 3x^2$
How can the function $f(x) = 5 - 3x^2$ be evaluated?
How can the function $f(x) = 5 - 3x^2$ be evaluated?
By squaring the input value, multiplying by 3, and then subtracting the product from 5.
What is the functional relationship expressed by the equation $2n+6p=12$?
What is the functional relationship expressed by the equation $2n+6p=12$?
The equation expresses a functional relationship between $n$ and $p$.
How can a function be defined in algebraic form?
How can a function be defined in algebraic form?
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What is the example provided in the text for solving for a function value?
What is the example provided in the text for solving for a function value?
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Study Notes
Evaluating Functions
- Evaluating a function in formula form is a simple process.
- The process involves substituting the input value into the formula, performing the necessary operations, and simplifying the result.
- For example, the function f(x) = 5 - 3x² can be evaluated by squaring the input value, multiplying by 3, and then subtracting the product from 5.
Functions Expressed in Formulas
- Some functions are defined by mathematical rules or procedures expressed in equation form.
- If a function output can be expressed with a formula involving the input quantity, then it can be defined in algebraic form.
- For example, the equation 2n + 6p = 12 expresses a functional relationship between n and p.
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