Functions and relations graphing using a table of values worksheet

Asked by admin @ 29/10/2021 in Mathematics viewed by 332 People

Assignment: Function Equations Investigation

Create matching cards for these linear functions. Each column will have three representations of the same function. One representation is given to you; you must use it to complete the other representations in the column. Type in the table values and equations. To complete the graphs, use the draw feature in your word processor or print the assignment and scan or take a picture of the completed graphs to submit.

Answered by admin @ 29/10/2021

Function 1:

For the given table

$\begin{array}{cc}x&f(x)\\-2&-2\\-1&1\\0&4\\1&7\end{array}$

you can plot the graph of the function (see first attached diagram). This function is linear and has equation f(x)=3x+4.

Function 2:

For the given function f(x)=-2x+3 you can create a table

$\begin{array}{cc}x&f(x)\\-2&7\\-1&5\\0&3\\1&1\end{array}$

and plot the graph (see second attached diagram).

Function 3:

For the given graph of the function, you can find the function:

$\dfrac{x-0}{6-0}=\dfrac{y-(-3)}{0-(-3)},\\ \\\dfrac{x}{6}=\dfrac{y+3}{3},\\ \\2(y+3)=x,\\ \\y=\dfrac{1}{2}x-3.$

Thus, the equation of the function 3 is $f(x)=\dfrac{1}{2}x-3.$

The table will take a look

$\begin{array}{cc}x&f(x)\\-2&-4\\-1&-3.5\\0&-3\\1&-2.5\end{array}$

Functions and relations graphing using a table of values worksheet

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