Weekly Blog Post #10 Function Notation
Function notation is when you get the x or y value of a graph and you have to use it to find the other value, it can also be used to turn a y value equation into an x value equation for example if y = f(x) and the equation is y = 0.5x – 0.25 it can be turned into f(x) = 0.5 – 0.25
In this graph 0.7 = 2.7, 1.8 = 3.2, and 2.6 = 0.8
Weekly Blog Post #9 functions and relations
If you have two circles and one of them has the father in it and the other has the two children in it the connection between the father and the children would be a relation because the father has two people that he is connecting to, but the connection between the two children to their father would be a function because they both only have one father
Weekly Blog Post #8 domain and range
When righting the domain and range of a graph you have to put the lowest x value is less than or equal x and that the greatest x value is greater than or equal to x. you do the same thing for the range but it has a y value instead of an x value. If one of the lines has an arrow on it that means that it goes infinitely in that direction when this happens you put an ER instead of a value
in this picture the domain is 0 ≤ x ≤ ER
And the range is ER ≤ y ≤ 0
Week 6 blog post
Factoring polynomials
To factor a polynomial you have to find the lowest common multiple of all the terms in the then you put that LCM on the outside of the brackets then on the inside of the brackets you put the terms multiplied by the LCM will equal the terms from the original question, if you are factoring a question and every term is a perfect square you can write the square root of all the terms and rewrite the equation as the square roots on the original terms
X2 – 7x + 10 16x4 – 1
(x – 5 ) ( x – 2 ) (4x2 + 1) (4X2 – 1)
Weekly Blog Post 5
Multiplying binomials
When you multiply binomials you can use a stop called foil with foil you multiply the to front terms then you multiply the to outer terms the you multiply the to inner terms then finally you multiply the to terms on the right side, once you have all of those you need to add the two terms that both have one variable then you should have a trinomial, if there the first term has no number than you can use a pattern to figure it by just multiplying the two first terms which should almost always be x2 then you add the second terms together then multiply the second terms together
(5x + 8) (2x – 3) (x + 7) (x + 4)
10x2 -15x + 16x – 24 x2 + 11x + 28
10x2 + x – 24
Prime factorization
To find the prime factor you can either use division or a factor tree with division you divide the number by what even the easiest number is and you keep dividing till you get to one then you take all the numbers you divided by and turn them into prime numbers if there not already then you have the prime numbers of that number. For a factor tree you need to get two numbers that multiply to make that number then do that to those numbers till you have all prime numbers.
Negative exponents
To solve a negative exponent you need to either find out what the answer would be if it was a positive exponent then make it one over that number an example of this is 5 to the power of negative 3 since 5 to the power of positive 3 is 125 the 5 to the power on negative 3 will be 1 over 125. Or you can get rid of the exponent by tuning it into a fraction and putting it on the opposite side that it was on (if it was negative on the bottom you move it to the top and then the exponent will become a positive)