U1 A1- Polynomial Functions And Operations Flashcards
Do you factor the simplified expression once you add/subtract polynomial functions
No
In f(x)-g(x) what do you have to remember
Put ALL of g(x) into brackets and apply the negative to the whole expression
What is the order of operations for -x^2
1) square first
2) then apply the negative sign
What does it mean when a function is defined
It has an equation
When functions aren’t defined how do you find the sum or difference
Add/subtract the y values (outputs) at a given x value (input)
Given:
F(-3)=5
g(-3)=8
What is f(-3) + g(-3)
13
The domain of the combined sum or difference function may be ______ than the _____ domain
The range of the combined function can be determined from the _____
Different
Individual
Graph
F(x) domain: (-infinite,3)
g(x) domain: (-5,infinite)
What is the domain of (f+g)(x)
(-5,3)
The domain and range of a graph is always ____ unless there are restrictions
Infinite
x is an element of real numbers
How do you know if domain and range aren’t infinite when just given equation
If there are restrictions in the equation
What are 2 examples of restrictions on an equation
- x under a square root sign
- dividing something by x
What is the constant of a quadratic function (in terms of graphing)
y-intercept
The domain of the product or quotient function may be ______ than the _____
Different
Individual
The range of a combined function (multiplication or division) can be determined from the ____
Graph
How do you draw a new graph when you combine two functions
1) make a table and state the y-value of f(x) and g(x) at x values that you pick
2) combine the two y-values however you’re supposed to (add/sub/mul/div) And those are your new y-values
When you are determined a simplified expression for multiplication or division of polynomials should you factor after
No
How to determine the degree of a function multiplication statement without foiling it out
Count the x’s
(Linear function )(linear function)= _________
and why
Quadratic
(x)(x)=x^2
What is always the domain of a quadratic unless there are restrictions
Infinite
x is an element of real numbers
When is the only time you can add/subtract radicals
When the radicand are like terms
What is a radicand
Stuff under root sign
Before you state NPV’s what do you always have to do
Factor the expression
A discontinuity is a _____ in the graph
Graph
Vertical asymptote- a line that the graph _____ but never touches
Approaches