Key Features
How do you find domain and range?
Domain- x values
Range - y values
What is the parent function 3|x+2|?
Parent function: |x|
What is a piecewise function?
A function that has multiple graphs and each has its own rule
Use desmos to graphically find the solution of x – 4 = 2x + 20.
(-24,-28)
What is revenue?
total amount of money a company earns from selling its products
How do you find the zeros of a function graphically?
x-intercepts
What is the parent function of 2x + 3?
Parent function: x
Draw an example of a piecewise function.
Answers will vary.
How do you find the solutions in a system of inequalities?
Any point in the overlapping region.
What does the coordinate z represent?
3D, the third axis
How do you write the range [-5,∞) in set builder notation?
y| y≥-5
Describe all transformations |x +6| - 12.
Left 6, down 12
What is an arithmetic sequence?
A list of numbers with a common difference.
What is a matrix?
An array of number.
What is the break point of a linear system?
Where the company starts making profit.
How do write x| 3< x < 10 in interval notation?
(3,10)
Describe all transformations -2x2.
Reflection over the x axis and vertical stretch by 2
Rewrite the explicit definition as the recursive definition an = 10 + 2(n-1).
An= { 10, a=1
An-1 + 2, n>1
How do you find matrices to solve the system on the calculator?
Apps -> 8 -> 2 -> 2 -> Number of variables and equations -> Next -> enter coefficients -> solve
How do you find where the function is positive?
Where it is above the x axis.
What is the difference between set builder and interval notation?
Set builder is a statement or inequality and interval a range.
Describe all transformations (-3x + 2)3 – 10.
Reflection over y axis, horizontal shrink by 3, left 2, down 10
Find the explicit definition given that an auditorium has 18 seats on the second row and 36 seats in the eight row.
36-18= 18 8-2= 6 18/6= 3 common difference
An= a1 + 3(n-1)
18= a1 + 3(2-1)à 18= a1 +3(1) à 15= a1
An= 15 + 3(n-1)
Write the matrix of the linear system.
2x - y = 10
-10x + 2y - z = 0
3x + 5x - 2z = 14
[ 2 -1 0 10]
[-10 2 -1 0]
[3 5 -2 14]
Given a graph of a piecewise function explain how to find the equations.
If they are lines use y=mx+b, by looking ofr the slope from two points, the y intercept, and to make the interval is which x it starts and ends at.