Function Vocabulary
As the x-values increase, the y-values increase. The function is what?
Increasing
What is the formula for an average rate of change?
(f(b)-f(a))/(b-a
What is the number with no variable called?
A constant
What is the equation of the rational parent function?
f(x)=1/x
How do you say
f^-1(x)?
f inverse of x
What is the highest point on a graph called?
maximum
When is a function positive?
When it is above the x-axis (greater than 0).
What is the largest exponent of a polynomial called?
A degree
For rational functions, what is the factor that belongs to the numerator only?
the x-intercept
What is the inverse of a square root function?
a quadratic function
What is an "invisible" line on a graph that a function approaches but never touches?
An asymptote
What is the rate of change if a function is concave down?
If x=3+2i is a solution to a polynomial function, what must another solution be?
x=3-2i
For rational functions, what is the factor that belongs to the denominator only?
the vertical asymptote
What is the inverse of an exponential function?
a logarithmic function
What type of function is symmetric about the y-axis?
An even function
What is the rate of change if a function is increasing?
The rate of change is positive.
When you are asked to analyze a graph as x values increase or decrease without bound, what are you being asked to find?
The end behavior of the function
For rational functions, what is the factor that belongs to both the numerator and denominator?
The point of discontinuity/ hole.
arctan or tan inverse both sides
What type of function is symmetric about the origin?
An odd function
Given f(x) below, what is the average rate of change over the interval [0,4]?
f(x)=x^2-2
The average rate of change is 4.
What is the end behavior of the function below as x increases without bound?
f(x)=-3x^2
-∞
y=0
What is the equation of the line of symmetry for all inverses?
y=x