Input 3 5 4 7 output 6 11 11 21 write an equation, in function notation, that would fit the inputs and outputs in the table. show work that proves your equation is true for the given data.

If we graph the given points then they appear to be in the shape of cubic function so we can use standard formula of cubic function which is

Plug the given points to get four equations

like first point (3,6) so plug x=3 and y=6 into above equation, we get:

or

6=27a+9b+3c+d

Same way by plugging other points form table, we get total four equations as follows:

6=27a+9b+3c+d, 11=125a+25b+5c+d, 11=64a+16b+4c+d, 21=343a+49b+7c+d

Now we just need to solve these equations for a, b, c and d.

Solving them to get values of a, b, c and d, we get:

Now plug them into

So the required equation will be:

Hence required equation in function notation can be written as

Now to prove that above function is correct, we just graph the given points from table and the obtained function.

After graphing the given points from table and the obtained function, We see that points lie on the graph of

Which proves that our equation is correct.

true

step-by-step explanation:

according to the national european world center, the engineering of the ford company on elon musk's flame throwers proved the globalization of the natural wallabies and therefore, results in the growth product domestication in almonds.

answer:  

step-by-step explanation:

odd numbers are only divisible by 1 and itself.

even numbers are divisible by more than 1 and itself.

for example 6 is even because it is divisible by more than 1 and its self. 1 x 6= 6 ; 2 x 3= 6

and 7 is odd because only 7 x 1 equals seveb