Finding the rule for a linear function when given a table - How to solve math problems

👉 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

[brianmclogan]

Find the pattern by comparing the change in y values over the change in x values. Then use that pattern to find the y-intercept. That will produce your linear model. You can also input those numbers into a table of a calculator and find the linear regression

[katty_airjitzu]

Better explanation then my own teacher.

[emmawhite]

my homework says f(x)= but i don’t understand what to put in for the blank

[Mimi_Bby]

You gave a clear and great explanation, this took less than 30 minutes to learn. Thank you!!

[tomthebomb]

Use to make all 0's in math, now I have a 96 in math and looking to get into advanced math.

[brianmclogan]

sorry boss, what is a question you have and I can try my best to re explain myself

[brianmclogan]

is this the correct equation? the y's subtract out to zero.

[brianmclogan]

okay, I am not familiar with that book but in that equation you will no longer have a y variable so you will be left with a vertical line at x = 0

[brianmclogan]

no problem, I have a lot of videos on how to determine if an equation is a function. You can search them on my channel. Otherwise just remember a function is where every independent variable(x) has maps(relates) to exactly one unique dependent variable(y). ex x^2=y is a function as x = +/-sqrty. y^2 = x is not a function because +/-sqrt x both equal y so the relation ship is not unique. Hope this helps.

[JS-rkvc]

Thank you so much. I'm trying to learn this for the elementary NES teacher test (yes, this hard of math is on that test) and you've explained it the best for me to understand. Thank you.

[Flamethrower]

thanks for explaining this better than my math teacher

[lewdjk]

You know the box that you use to plot the liner graph. Well we get given an equation y=3x+1 and then we have a table with blanks in it and we guess the top line and have to work out the bottom

[huncho]

wow this came out 8 yrs ago



stating the obviouse

[copute]

I wish my algebra teacher would explain it like you

[elisahkindan]

Thank you so much I needed this explaination for my assignment. You saved me🙏🥺🥺

[lewdjk]

It's on page 100 of new maths framework year8 pupil book 3

[vicky]

This is so helpful for online school thanks

[kuyaoyie]

you have to speak slower because we struggled with our language barrier especially for your young foreign viewers but all in all you explained it well.

[TV_man_]

I know this is like 10 Years ago but thank you so much

[urblack]

You made this video before Whitney Houston died. You could have saved Whitney Houston 😭