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OpenStudy (anonymous):

f(x)=x^2+3x-4

OpenStudy (anonymous):

find the domain,range, axis of symetry, and vertex

OpenStudy (anonymous):

@Hero

hero (hero):

@pooja195, help her

OpenStudy (anonymous):

:)

pooja195 (pooja195):

Have you started this yet? If so what do you have so far? :)

OpenStudy (anonymous):

No, I tried to but it didn't really make sense. I graphed it though by plugging in points

pooja195 (pooja195):

Thats fine Starting with all real numbers, the domain is the largest possible set of x values that has a meaningful y value. The largest possible set of x values is all the real numbers, since each real number has a meaningful output , there is no division by zero or square root of a negative number.

OpenStudy (anonymous):

okay so the domain would be all real numbers?

pooja195 (pooja195):

yes :)

pooja195 (pooja195):

Wanna try out range?

OpenStudy (anonymous):

sure

pooja195 (pooja195):

For range there is no simple formula. You have to look at the graph and find the y values which are 'hit'

OpenStudy (anonymous):

y<=4?

pooja195 (pooja195):

Look at this https://www.desmos.com/calculator/9zbczplemb

pooja195 (pooja195):

Range would be the green line

pooja195 (pooja195):

if you shine a flashlight horizontally , the range is the shadow

OpenStudy (anonymous):

so, y<-3/2??

pooja195 (pooja195):

thats the axis of symmetry

OpenStudy (anonymous):

ok, so then what would the range be? Sorry, I dont understand this part

pooja195 (pooja195):

The range would be y>= -25/4 because the range is the y values of the ordered pairs of your function

OpenStudy (anonymous):

oh okay! So now all we need is the vertex which is -1.5,-6.25?

pooja195 (pooja195):

Thats correct good job :)

OpenStudy (anonymous):

Thanks for your help:))

pooja195 (pooja195):

\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Huge\bf\color{#FF0000}W\color{#FF4900}e\color{#FF9200}l\color{#FFDB00}c\color{#FFff00}o\color{#B6ff00}m\color{#6Dff00}e\color{#24ff00}~\color{#00ff00}t\color{#00ff49}o\color{#00ff92}~\color{#00ffDB}O\color{#00ffff}p\color{#00DBff}e\color{#0092ff}n\color{#0049ff}S\color{#0000ff}t\color{#2400ff}u\color{#6D00ff}d\color{#B600ff}y\color{#FF00ff}!\)\(~~~~~~~~~~~~~~~~~~~~~~~~~~\Huge{\color{red}{\heartsuit}\color{orange}{\bigstar}\color{yellow}{\heartsuit}\color{green}{\bigstar}\color{blue}{\heartsuit}\color{purple}{\bigstar}\color{hotpink}{\heartsuit}}\)\(\Large\bf\color{Lime}{Please,\ don't\ hesitate\ to\ ask\ questions!}\)\(\Large\bf\color{magenta}{We're\ here\ to\ help!}\Large\color{magenta}{\ddot\smile}\)

OpenStudy (anonymous):

Lol! Aww! That's so sweet<3!!!! Thanks:D

pooja195 (pooja195):

:3 <3

OpenStudy (anonymous):

ty you too, hero:)

pooja195 (pooja195):

@ChloeSiouz hold up theres a mistake

OpenStudy (anonymous):

Ok:)

pooja195 (pooja195):

range is y>-4 it means you can't get value less than -4 by putting any value of x

OpenStudy (anonymous):

Alright, is the axis of symmetry still the same though?

OpenStudy (anonymous):

so, is everything else okay?

pooja195 (pooja195):

It remains the same. Everything else looks fine.

OpenStudy (anonymous):

cool:)! Glad you caught that hhaaha:)

pooja195 (pooja195):

:)

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