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volunteer
so the best way to explain it is the denominator can never be 0
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volunteer
x-3=0 and x+3=0 is not possible thus x cannot equal - or + 3
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volunteer
does this make sense
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student
Yes
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volunteer
okay so going back to the example
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student
Could I try this one on my own
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volunteer
yes
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volunteer
okay so in fx what is b and what is c
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student
5x and -14
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volunteer
perfect
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student
So it needs to add to 5 and multiply to -14
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volunteer
add to -5 and multiply to -14
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student
Right
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volunteer
you have to be careful with those thats how they like to trick you on a test
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volunteer
okay you can continue
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volunteer
let me know if you have questions
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student
Is that right?
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volunteer
yes
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volunteer
youre doing great
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student
Would it be (x+4)(x-4)
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volunteer
correct
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student
Got it
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student
I have nothing to cancel
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volunteer
you need one more thing for your final answer
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volunteer
that is okay sometimes there wont be anything to cancel out
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student
Is that correct
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volunteer
so what you have would stay the same and then you would also state the x does not equal + or -4
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volunteer
you got it
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student
Okay great. Can I try one more
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volunteer
sure thing
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volunteer
​ there you go
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student
Is that correct?
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volunteer
yes
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volunteer
Good job
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volunteer
great
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student
That made it alot easier. Thank you so much
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student
Do you have anymore time?
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volunteer
no problem im glad i made it easier to understand
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volunteer
yes i have a bit more time
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volunteer
if you dont mind when we finish our session please leave a positive review for me :)
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student
Determine the domain of the function: x-7/4x^2 -3x - 10
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student
Of course, you are great
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volunteer
thank you! so are you!
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volunteer
is it okay if i clear the screen?
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student
Give me one moment to put the equation down on my paper
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volunteer
okay no problem let me know when it is okay to clear it
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student
Done, you can clear
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volunteer
the first step is to make the denominator equal to 0
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volunteer
do you know the quadratic formula?
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student
Maybe
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volunteer
this is the formula
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volunteer
does it look familiar?
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student
Yes a little
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volunteer
okay so first lets identify what is a= b= c=
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volunteer
so similar to earlier we are going to look at the denominator is step one
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volunteer
so A= 4 B= -3 C= -10
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volunteer
does that make sense?
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student
Yes because it just goes in order, that doesn't change right?
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volunteer
correct
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student
Okay good
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volunteer
easy way to remember even if the did try to change the order
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volunteer
is x^2 is always a
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volunteer
x is always b
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volunteer
and then number with no x is always c
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volunteer
okay do you think you are able to condense this down or would you like help?
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student
I can try
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student
Do we do in the sqaure root first?
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volunteer
you can
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volunteer
is that meant to be a 4 or 9?
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student
4
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volunteer
explain how you got 4
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student
Sorry I did mean 9 lol, not sure why I wrote 4
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volunteer
all good
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volunteer
remember the denominator is for the whole equation
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student
Now what do we do?
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volunteer
we can condense some more
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volunteer
also the sign you have next to X is incorrect
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volunteer
so -4(4)= -16 X -10 = 160
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student
How did you get 13?
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volunteer
okay so if we do the square root 169 it is equal to 13
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student
Oh wait
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student
I know
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volunteer
okay
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volunteer
so now you must solve for both of the following
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volunteer
does this make sense how i set it up?
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student
Yes
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volunteer
so it can be written this way
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volunteer
there is also the way with the infinity signs but idk if you have seen that in class
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student
Yes I do, how do I do that
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volunteer
so the way you set it up if the left is the most - and as you go across it becomes more postive
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volunteer
do you see that or does it make sense?
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student
I don't understand
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volunteer
- infinity is the most negative
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volunteer
then followed by -5/4
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volunteer
then -5,4 to positive 2
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volunteer
then 2 , positive infinity
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student
Why the 2 though?
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volunteer
it make sense if you use your graphing calculator to see it
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volunteer
we got 2 from earlier
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volunteer
will highlight it in pink
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