Welcome back lady and gentleman
mathematicians. We are going to continue
working with the TI-83 calculator. It's
going to be very similar to the one that
you're going to be using on the MCAs and
I wanted to give you an opportunity to
kind of practice this a little bit. So
let's say you're facing a situation
where you need to graph something, alright?
And you just want to double check
that you're doing it right, alright, and
you have the formula you've got it into
the slope intercept form so it's Y=
and then you have whatever else
you need, your MX plus B. There is a way
that you can go ahead and put that into
the calculator and you can see it on a
graph. Alright so here I'm going to go
ahead and I'm going to put in an
equation, right? I'm going to start a new
one I'm going to do 1/2-- 1/2
and then I want X plus 5 alright so I'm
going to have a one-half X plus 5. My
slope is one-half, my y-intercept is
going to be a five. Alright, let's take
a peek at what happens here. I've entered
this in by pressing my Y=, I've
typed it in. My X, just in case you
didn't spot it, my X is this button
right here, and then I'm going to say
alright, I want to graph this I want to see
what it looks like. So here we go and
there it is. There's my line. It is
graphing up and if I am like--hmm, let me
find out what's going on, I don't know
what's happening here. I want to see
exactly where this is. Where does it
cross? What's my y-intercept? You can
click the TRACE button and it will show
you: this x is 0 and y is 5. If you want
to move it over and see-- well, what
happens when I go to x equals 1. At this
point I could even just instead we're
just going over by arrow I can type in
the 1 and then hit ENTER, and it will
pop it over and tell me all I'm at 5.5,
alright?
So this is actually really helpful when
you're graphing. Now if you recall
there's the possibility that you could
have a-- a case where you need to find the
solution of two graphs: where do they
intersect? And we're doing it graphically.
Well obviously you're going to want to
be able to graph it properly, and this is
a way to double check your work, to make
certain you're doing it right. Another
way would be to actually go and put both
of them in. I'm going to go ahead and go
down to my next one right, and I want to
go here I want to go this way-- and I'm
going to change the type--I can change
the kind of line that I have there and
I'm going to change that so I'm going to
have a really dark line for the one that
is my Y_2 ,so that way I can really see
which is the difference. Alright, now
I'm going to go back over and I'm going
to put in a -X; so I'm going to
have a -1X and I'm-- my
Y-intercept is going--i'm going to have
that be a 0, and I just want to see
where these two lines are going to
intersect. So now I put them in; I've got
both of them in, and I'm going to go
ahead and graph. Alright, so now I can see
that they cross right here, right? Again I
could go to the TRACE and I can move
over along the trace, right? So it looks
like if-- I'm a little too far here this
way-- it looks like somewhere in about
three... and then if I want to switch
between them--here i'm looking at Y_1.
right? That tells me which which line I'm
on.
Here I can flip to Y_2, right? So this is
kind of interesting; I can, I can go
between them and see okay, well, how how
close am I? This is a -3.4. If I
go over to -3.4. Here I got 3.29
so I'm like in 3.3 almost and here I'm
at a 3.4, so they're not quite exactly
the same, but they're pretty close. Now,
what happens if you're like, okay, well I
absolutely positively have to figure
this out. Well this is--and this is
getting a little involved, I will
admit that--but I want to make sure that
if you're determined to kind of learn
this function on how to use it as a --you
know-- a legal cheat for, for lack of a
better term-- these are your cheat codes.
If you're a gamer, here is a way that you
can do that. We're going to go ahead and
calculate it I'm going to go 2ND and
CALC, right, that's the TRACE button and
I'm going to go over to where it says
calculate, I want to calculate
intersection. So that is going to tell me
where these 2 meet. Well does that let me
know, I mean what do I do now, right? Well
first of all I need to make sure I'm on
one of my two lines right this is my
first-- they call it a curve but it's of
my first line--and I want to make sure
that I am "before" the intersection
because if-- it starts looking wherever it
is I am alright? And then it will-- it
will go on from there, alright? I want
to make sure that I've got it. So here I
go ahead and hit ENTER, and now it asks
me "Is this my second curve?" and you say
yes--you hit ENTER again and then you
want to say "Guess?" Well this is a pretty
good guess, you're on the left side of
this thing, so this is a good enough
guess. Go ahead and hit ENTER and here
it's telling you your intersection is X
is going to be -3 and 1/3
and your Y
is 3 and 1/3, and that would--I mean--
it will calculate it for you regardless
of where--what your lines are, right? As
long as you've got them in there
properly, it should give you your
intersection using that trick. So again
the way you'd go about doing that is
once you've got your lines in, right?
We're going to go--we've got our lines in
the way we want them, we want to go ahead
and you can just even go directly to CALC--
you can go CALC-- go to 2ND and the
TRACE button, and then we're going to
calculate. And you would go down to 5;
alright? Most of these are you might
want to do a zero, or the intersection.
Those are the only two that you're
probably going to want to use right now.
Once you get further in math, maybe
those other things will show up, but for
right, now let's go with our intersection.
That's going to be five and then again
I'm going to have to make sure I'm to
the left of that. I'm going to say, okay
this is the first intersection of-- a
first line that I'm looking at, hit ENTER.
It asked me is this my second line? You
can have as many lines in there as you
want you just need to make sure that
you're comparing--um--you know which 2 you
want to use. Go ahead and hit ENTER, ask
you the for the guess. You're on the left
side of it, so you're good, and again it
will give you that exact intersection.
Alright so that's actually something
pretty cool. If you wanted to see what's
going on, where is it at zero, right?
Remember we said we could go ahead and
TRACE, and then if i set X=0
and hit ENTER. It tells me okay this
first one is five. And then what-- let's
say I want to know the second one--well,
what is the second one? And you've
forgotten what it is, and you don't, we're
too lazy to look it up or whatever, right?
So here you can use your up arrow and
it will flip between the two times so
this is saying X is 0, Y is zero. Alright,
so now you're in there, and you want to
get out of there.
And what do you do? Well if you hit CLEAR,
okay, it clears off the traces for you, but it
doesn't clear out the graph for you.
Here's what you do-- here's how you get
out of things and it's going to be one
of two things almost always. You can
clear, if your home screen is kind of got
some stuff on it but if you're in the
middle of something like graphing, you
can go 2ND and QUIT and that takes
you back to your home screen. Alright,
hopefully that was a helpful little
tutorial on how to use your graphing
function.
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