Finding an equation given a table of values using different 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

Connect with me:

#functions #brianmclogan

[isthatcoreyy]

crazy that these students are grown grown now.

[jordanramos]

So basically guess and hope you get close

[Daniel-yqgm]

Mr. McLogan, I have a question. This is kind of irrelevant, but if you want to graph a quadratic function, does the table of values need to be constant, or can you just write random points along the quadratic as long as you have the vertex and the x intercepts?

[brianmclogan]

what? I like the rhyme but do you have a question for me?

[ivanirigoyen]

Why am i watching this? 8th grade is hard and the test are killing my average 😭😭

[OliviaBowers-mrel]

thank you so much for helping me I am in the middle of homework and this helped me so much ❤

[greggreen]

@brianmclogan I like this explanation. It made a lot of sense. How could this be done if we know the line is curved? In other words, the equation would have exponentials of x.

[dezsy_yy]

i am cooked, i have a math exam in the morning and i wasnt at school for this and now i dont understand it

[Kai-wqmi]

can't believe this is 10 years ago lol

[kalle]

Do you know what I swear there is even not a teacher like to give me Info as a fact it is ❤😅

[mushimushi]

my Professor giving us a hard questions    Can you Make a Hard equations within this Month ?

[spyro]

Yeah Dakota you really want to listen to this