Polynomial Functions
The degree of a polynomial function is determined by
What is the largest exponent?
What is the y-intercept of:
f(x)=(x-8)1/3-2?
What is (0,-4)?
Inverse functions do this.
What is swap x- and y-values?
Is the following growth or decay: f(x) = 7 (0.94)^x
What is decay?
The shape of function facing down is given by this number.
What is a negative leading coefficient?
A polynomial with an even degree and negative leading coefficient has this type of end behavior?
What is down, down?
A negative leading coefficient in a cube root function has this kind of reflection.
What is reflection over y-axis.
If f(x)=x3+2, find f-1(x).
What is ∛(x-2)?
The asymptote of 2*2(x-2)+3?
What is y=3?
Given the roots (8,0) and (-2,0), the quadratic equation is written in the form
what is y=(x-8)(x+2)?
The multiplicity of each of the following roots
f(x)=(x-1)3(x-2)(x+4)2?
What is
multiplicity of 3 at x=1
multiplicity of 1 at x=2
multiplicity of 2 at x=-4?
The range for the parent function f(x)=∛x
What is y (all real numbers)?
The cubic and the cube root functions are inverses because of this mathematical reason?
What is their exponents are inverses (3 and ⅓)
If 3*2x-1, what is the range?
What is (-1,+∞)?
Write out the equation for g(x) if it transforms f(x)=|x| by shifting left by 3, and shifting down by 6?
What is g(x)=|x+3|-6?
What is the leading coefficient of f(x), given the y-intercept is (0,300)
f(x)=a(x+2)(x-2)(x-5)
What is a=15?
Write out the equation for g(x) if it transforms f(x)=∛x by stretching vertically by 2, shifting right by 4, and shifting up by 3?
What is g(x)=2∛(x-4)+3?
Inverses multiply to this number
What is one?
The equation of f(x) given (0,2) and (1,6)
What is 2*3x?
Write out the equation for g(x) if it transforms f(x)=|x| by shifting right by 4, and shifting up by 3?
What is g(x)= |x-4|+3?