Finding a rule from a table of values using a combination of operations - Cool math

👉 How to write the rule of a function given the table of values. To write the rule of a function from the table is somehow tricky but can be made easier by having prior knowledge of the type of function. If the function is a linear function, plugging any two sets of values from the table into the equation y = ax + b, where a and b are constants to be found and x, y are values taken from the table. Solving the two equations obtained simultaneously gives the values of a and b and hence the required rule.

Similarly, if the function is a quadratic equation, plugging any three sets of values from the table into the equation y = ax^2 + bx + c, where a, b, c are constants to be found and x, y are values taken from the table. Solving the three equations obtained simultaneously gives the values of a, b and c and hence the required rule. For tables with no prior knowledge of the type of function, a series of trial and error will lead us to the solution of the problem.

Organized Videos:
✅ Piecewise Functions
✅ Graph a Piecewise Function | Hard
✅ Graph a Piecewise Function | Easy
✅ Evaluate a Piecewise Function
✅ Find the Value that Makes the Functions Continuous
✅ Write the Piecewise Function From a Graph
✅ Write the Piecewise Functions From a Table

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#functions #brianmclogan

[meganswart]

omg thank you so much, nine years later and it helps me more than the recent posted videos

[hqribbo]

I’m here because my teacher doesn’t teach very well

[zev]

2:43
In his brain: "Ok that didn't work"

[brianmclogan]

I try not to make monotonous videos, so interaction with my students is a must. I just love teaching high school, no plans for high degrees yet

[nazreenrasool]

Whatever school this man teaches in is so blessed

[MortalChamp]

“Since we’re talking about functions *Chris*” LoL

[financialservicesprofessio]

Thank you so very much for this particular video. I have never heard anyone say "we could use a combination of various operations" to solve. I thought I was stupid, until I found this video and then everyting makes sense. Thank you, thank you, and thank you!

[kyrieirving]

you are less confusing than my math teacher, it was a good idea for you to make a math youtube channel.

[alexnicholls]

there is a way that always works that isn't guess and check. Basically you look at the y table and see by how much does it move by. So for the first example, the y is moving by positive 2 (because the x is going from bigger to smaller) you have to check the x to make sure that it is moving positively. And then whatever you get. So in the example, you get positive 2 and you multiply that with the x. .And then you add or substract whatever number to make the table true. And it will work for every other one. Hope that made sense.

[fmemes_life]

Thank you so much! I have a quiz tomorrow so this really helps

[louise]

Is there an easier way to do this other than trial and error?

[Sxpphaa]

thank you so much, my teacher isnt the best at explaining and i feel this explained it to me

[dhl]

Thanks man, I always had trouble using tables to find rules. Tysm. You helped me big time 👍👍👍😊😊☺️

[crimsonmavrickyt]

Did not know anything at first know I know how to do it off the top of my head

[GreaterDeity]

Excellent video. They are really helping me get back to my roots in mathematics. Increase my efficiency when doing tedious calculations. You plan on getting your master's or doctorate? Another thing, is that I know it's annoying for you when you're trying to explain things, but it is hilarious when teachers call out students in the middle of an explanation when they are not paying attention. Good methods.

[markgreene]

Thanks much- just used with my 11year old. Very helpful

[Pixel_Perfecto]

I just realized this is 8 years old omg

[bongamsibi]

Thank you sir you really helped me my teacher did not explain well but know I get it so thanks 😊

[tomcruise]

Wow high school stuff? I learned this in middle school

[kdilikx]

How is negative 2 times 2 equals to negative 2