Family Tree
*Graphed line is straight going vertically, horizontally, or diagonally on the graph
*y = mx + b
*+ or - by constant amount on function table
Linear Function
Inverse operation of subtraction
Addition
+
All square root functions have a "initial point" where the line starts. What is another word for "initial"?
Starting
Beginning
First
This is space between two things or values. Often used in measurements, data, and music.
Interval
Another way to write 43
4 * 4 * 4
64
*Graphed line is sharp curve that flattens out
*y = a(b)x
*1st difference * or / by constant amount on function table
Exponential Function
Inverse operation of multiplication
Division
/
Intercept
An open circle still helps set the interval. However, it is not part of the solution so we use these symbols
< or >
Part I: Using words, I would simplify x5 * x3 by
Part II: Using words, why could I not simply x5 * y3
I: I would + the exponents
II: They do not have the same base
*Graphed line looks like either smile or frown (remember those theater masks?)
*y = ax2 + bx + c
*2nd difference + or - constant amount on function table
Quadratic Function
Inverse operation of a value squared
Square Root
A negative sign at the beginning of a square root function means it is
Decreasing
A closed circle also helps set the interval but it is part of the solution. For closed circles we use the symbols
< or >
Part I: Using words, I would simplify x5/x3 by
Part II: Using words, why could I not simply x5/y3
II: They do not have the same base
The boundary line where an exponential graph flattens out. The graphed line will never cross this boundary!
Asymptote
This is the only operation that is hidden when used in algebra and remainder of your high school career. It is shown by two terms sitting directly next to each other.
Multiplication
If a square root function is increasing then the range will be y ___ k
>
If it is decreasing it will be <
The line y=4 would look like
Daily Double: In addition to y=4 you are given this information, -2 < x < 4, this line would look like
A horizontal line going through the y axis at 4.
Daily Double: A horizontal line going through the y axis at 4. There would be a closed circle at -2 and an open circle at 4.
(x3y2z)4
x12y8z4
Rise/Run tells us what in a linear function?
Daily Double: what does the b value represent in a linear function?
Slope (m value)
Daily Double: Y intercept
We know we are done solving a literal equation when
(2 answers for full points, 1 answer for 1/2 points)
-The variable we are solving is isolated on one side of the = sign
-All like terms are combined
To find the domain we take what is inside the square root sign and set it to
> 0
A line with a slope will require you to use this formula for linear functions
y = mx + b
n8 = (n4)?
2