Math$-140$ Written Assignment $3$: Finding A Maximum

Neshawn Tyree

Graph the function $f(x)=-1x^2+3x+10$ and use a graphing calculator to find the maximum point.

Enter the function into your calculator. $Y_1=$

$(1\mathrm{.}5,12\mathrm{.}25)$

Hit Zoom $6.$ Does the top of the graph show in this standard window?

Hit the Window key and change the $y-$max to $20.$ Hit Graph.

Does the top of the graph show now

To find the maximum, hit $2^{nd}$ CALC

$($What number?$)$

Move your "spider" to an $x-$value that is to the left of the top of the graph. Record that number

here:

; hit ENTER.

Move your "spider" to an $x-$value that is to the right of the top of the graph. Record that number

here:

hit ENTER twice.

$($If you use the KEY IN method, entering your chosen left$-$ and right$-$bounds, record those

numbers above.$)$

Name the ordered pair given as the maximum point:

Remember that by definition, the maximum is actually the $y-$value of the highest point.

So the maximum is

at $x=$

I would also like to assess your graphing skills with this assignment, so on the next page l$\text{'}$d like you to

find some ordered pairs and graph this same function.

Please go to the next page.