Functions
Graphs
Chapter 2
Chapter 3
BOOM
100
The simplest or most basic function. ex: f(x)= x
What is Parent Functions
100
a transformation that shifts the graph of a function
What is translation
100
ex: 2x+4 what does the 2 represent of the equation
What is leading coefficient
100
the number that is going to be raised to a power
What is base
100
When a polynomial has a degree of n, it will have n complex roots that may be repeated
What is the Fundamental Theorem of Algebra
200
A function that is symmetric to the y axis.
What is Even functions
200
f(x)=x ... f(x)=-(x) this is an example of a..
What is Reflection
200
How many times a particular number is a zero for a given polynomial is the equations _______
What is multiplicity
200
a constant rate of growth applied to a continuously growing base over a period of time
What is exponential growth
200
is the set of all possible input values (often the "x" variable)
What is Domain
300
a function in which a variable appears in the exponent in the equation ex: f(x)=x^2
What is exponential function
300
f(x)=(ab^2) where a>1
What is compression
300
use long division to find this asymptote
What is slant asymptote
300
The half life of a substance is the time it takes for 1/2 of the substance to decay
What is half life
300
Original = 3x-1 1 __?___= F^ -1 = ---- 3
What is inverse
400
A function that is the quotient of two polynomials. a(x) ex: f(x)=----------- b(x)
What is a Radical Function
400
the ratio of leading coefficients 2x^2+x+12 2 -------------- = --- = 2 4x^2+x+13 4
What is Horizontal asymptote
400
a short cut for dividing a polynomial by a linear factor
What is synthetic division
400
example: ln
What is natural logarithm
400
any function involving only non-negative integer powers of x.
What is polynomial function
500
f(x) = 2x^3 – 4x is an example of an.......
What is Odd function
500
describes what happens to the value of f(x) as x increases or decreases without bound or to infinite
What is end behavior
500
any number that can be written in the form a+bi, where a and b are real numbers and i is an imaginary number
What is complex number
500
Y= ab^x when a > 0 and the b is between 0 and 1 the graph will show......
What is exponential decay
500
a number equal to or greater than any other numbers in a given set.
What is Upper bound
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