5 Questions
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?
By squaring the input value, multiplying by 3, and then subtracting the product from 5.
What is the functional relationship expressed by the equation $2n+6p=12$?
The equation expresses a functional relationship between $n$ and $p$.
How can a function be defined in algebraic form?
If it is possible to express the function output with a formula involving the input quantity, then we can define a function in algebraic form.
What is the example provided in the text for solving for a function value?
The example is not provided in the given text.
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.
Test your knowledge of evaluating and solving functions in college algebra with this quiz. Practice evaluating functions using formulas and learn how to solve for variables in different functions.
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