Week 11-Math 10

This week in math 10 we learned about Function Notation, one part of this is on a graph and seeing if it can pass the vertical line test. Basically the vertical line test is to see if it is a function or not a function, to do this you would look at a graph and see if any of the vertical lines/ the y-axis has two points or if it only has one for each x-axis

for example

How to Make a Curved Graph in Excel

this graph would be a function because it passes the vertical line test, it doesn’t have more the one point on the y-axis

another example

Calculus II - Parametric Equations and Curves

this one would not be a function because there a two y-axis points for a x-axis

last example

Solved Use the graph of the function to find the indicated | Chegg.com

this one looks a little confusing but looking at it, this one is also a function because it still only has one point per x-axis

Week 10-Math10

This week in math 10 we learned how to find the domain and range. I will be showing how to find the domain.

first the definitions

the domain is the set of all input values that can be used for a relations,

the range is the set of all output values that are used by a relation.

when finding the domain or range we would use a graph

Graph Paper for High School Math

this is what I’m going to be solving

Domain of a Graph

to find the domain i first need to see where the dots would land on the horizontal line or x which would be -4 and +6

from here I would make the equation, the equation should look like this

a ≤ x ≤ b

the greater than/ equal to signs would go in the direction of the greater number so our equations would look like

-4 ≤ x ≤ 6

something to remember is when the dot is closed it would be the greater than sign with the line meaning it could be equal to and when the dot is open it would just be the greater than sign.

Week 9- Math10

This week in math ten we started our new unit on relations. I will be demonstrating how to find the x-intercept

for example

3^x+5^y=20

when finding the x intercept y will always equal 0

so you would multiply the 5 by 0 which would give you

3^x=20

from there you would isolate the x,

to isolate the x divide x by 3 and the 20 by which would give you

\frac{3^x} {3} =\frac {20}{3} 

which would give you

(6.667,0) rounded

 

Math 10- week 8

This week in math 10 we learned about factoring squares.

Every polynomial that is a difference of squares can be factored using this formula:

a^2+b^2

for example:

so if a=x and b=4

we would get x^2-4

from there we would find the numbers that add into the -4

which results in

(x+4)(x-4)

to check if you got it right multiple the polynomials using FOIL

(x+4)(x-4)

–>  x^2-4^x+4^x-4

–> x^2-4