Polynomial Functions
If a function is going up from left to right, that function is said to be doing what?
What is increasing?
This function has a consistent rate of change.
What is a linear function?
What are the zeros?
Logarithms are inverse functions of this kind of function.
What are exponential functions?
Describe the transformations from the parent function f(x)=x2 of g(x)=-(2x+7)
What is reflection over the x-axis, horizontal shrink by a factor of one half, and translation left 7
When a function hits the x-axis, it is this kind of characteristic.
What is a root (or zero, or x-intercept)?
What is an exponential function?
These are found by dividing the dominate term in the numerator by the dominate term in the denominator.
What are the horizontal asymptotes?
Rewrite the following as an exponential.
logbx=y
What is by=x?
What is the name of Mrs. Angotti's niece?
What is Harper?
When a function goes straight through a root, it is said to be this kind of root.
What is a single root?
The graph of this function is a parabola.
What is a quadratic function?
These are created when you can reduce a factor from the numerator and denominator.
What are holes?
You want to do this first when creating a table of values of a logarithm.
What is write it as an exponential expression?
Find f(g(x)) of f(x)=3x+1 and g(x)=2x2-1
What is f(g(x))=6x2-2?
When a function bounces off a root, it is said to be this kind of root.
What is a double root?
This function describes the distance a number is away from 0.
What is an absolute value function?
These are determined by the factors in the denominator.
What are the vertical asymptotes?
When finding the inverse of a logarithm, you eventually have to do this with the x and the y.
Algebraically calculate the coordinates and multiplicity of any x-intercepts of f(x)=x5+3x4+2x3.
What are x=0 with a multiplicity of 3, x=-2 and x=-1.
You use these values when writing an interval for when a graph is increasing or decreasing.
What are the x-values?
This function creates 2 pieces because in this function, there will be asymptotes.
What is a rational function?
This skill is sometimes needed in order to determine the key characteristics of a rational function.
What is factoring?
What is the inverse of the following function?
log6(x+5)=y
What is 6x-5=y
Find the difference quotient of f(x)=x2+3x+7.
2x+h+3