Polynomial Functions
What is 81?
This exists on the graph of a rational function at any input value that causes both the numerator and denominator of the function to be equal to zero.
What is a hole?
This is the definition of a derivative
What is (f(x+h)-f(x))/h
1/(cscx) is equal to
What is sinx?
The parent function of this type of equation is f(x)=x
What is a linear equation?
When 18-4x=5x, x is this
What is 2?
The horizontal asymptotes of the function
f(x)= (3x+18)/(6x^2+40x+24) are
What is y=0?
The rule
((d)/(dx))(x^n)=n*x^(n-1) is commonly referred to as
What is the power rule?
1/sinx is equal to
What is cscx?
The distance between the midline to the peak of the curve in a cosine graph is referred to as
What is an amplitude?
The equations y=-x+5 and y=(1/2)x+2 are equal at this point
What is (2,3)?
The vertical asymptotes of the function (x+2)/(2x-10) are
What is x=5?
The rule d/dx[f(x)*g(x)]=f'(x)*g(x)+f(x)*g'(x) is commonly referred to as
What is the product rule?
Cosx's reciprocal identity is
What is 1/(secx)?
The quadratic parent function has this shape
What is a parabola?
What is cubic?
This exists on a graph when either the x or y value never reaches 0.
What is an asymptote?
The rule (((g(x))*(f(x))-((f(x))*((g(x)))/(g(x))^2 is commonly referred to as
Tanx's reciprocal identity is
What is 1/(cotx)?
The equation for the parent function of a reciprocal equation is
What is f(x)= 1/x?
x^2-6x+4=-1 is this when factored
What is (x-5)(x-1)=0?
The vertical asymptote of the function f(x)= (15x+6)/(x+4) is
What is x=-4
1. Find the first derivative 2. Plug x value into Fprime(x) 3. Plug x value into f(x) 4. Use the point-slope formula are all steps for doing this
What is finding the equation of the tangent line?
1/(tanx) is equal to
What is cot(x)?
The parent function of an absolute value equation is shifted 2 units to the right. The equation is written as
What is f(x)=lx-2l?