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4.1: Function Notation

Last updated

Oct 6, 2021
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- 4: Functions
- 4.2: Domain and Range of a Function

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The notation for a function is generally the $f(x)$ notation. In learning about graphing in algebra we typically use the $x$ and $y$ notation, that is: $y=6 x-1$ In function notation, the dependent variable $y$ is replaced by the notation $f(x):$

$f(x)=6 x-1$
Function values for particular values of the independent variable

$x$ can be found
by substituting the appropriate

$x$ value into the formula.

$\begin{array}{c} f(9)=6(9)-1=53 \\ f(9)=53 \end{array}$

Find each of the following values for the given functions:
$f(0) \quad f(-1) \quad f(3) \quad f\left(\frac{1}{2}\right) \quad f(x+2) \quad f(x+h)$
1) $\quad f(x)=2 x^{2}-3 x+1$
2) $\quad f(x)=5 x^{2}+x-7$
3) $\quad f(x)=\frac{x}{x^{2}-1}$
4) $\quad f(x)=\frac{x+3}{x^{2}+1}$

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