Logarithms
The inverse operation of raising a value to the power of x, such as the exponential relation below.
(5)^x
What is a logarithm?
The name of a function of degree 2.
What is Quadratic?
The degree of the following function
f(x)=(x+1)(x-1)(x+2)
What is degree 3?
A value that is not nor multiplied by a true variable.
What is a constant?
The first step when factoring.
What is list the factors of the product of the constant term and leading coefficient?
The base of the following logarithmic functions:
ln(4) and log(5)
What are e and 10 respectively?
The degree of the following function:
y=x-4
What is degree 1?
The roots of the following function
f(x)=(x-5)(x+4)(2x+3)
What are
x=5, -4, and -3/2
f^-1(x)
What is the inverse function?
How to decide which factors of the constant terms to use when factoring.
What is selecting the factors whose sum are the coefficient of the middle term?
The result when you solve for x with the following function:
5^x=50
What is
log_5(50)
The number of turning points of the following function:
x^5+2x^2-3
What is at most 4?
The standard form of the following function
f(x)=(x-2)(x+5)(x-3)
What is
f(x)=x^3-19x+30
The name of a model with two turning points.
What is cubic?
Factor the following:
x^2+x-12
What is
(x-3)(x+4)
The result when you solve the following function for x:
10^x=14
What is
log(14)
Where this function intersect the y-axis
f(x)=x^4-3x^2
What is at x=0?
The result when you factor out the following expression from the following function:
(x-1)
f(x)=x^3-6x^2-9x+14
What is
x^2-5x-14
The name of 5 in the following expression
log_3(5)
What is the argument?
Factor the following
x^2-36
What is
(x-6)(x+6)
f^-1=e^(3x-2)+4
What is
y=(ln(x-4)+2)/3
The value of
f(-1)
when f(x)=x^3-x^2+x+1
What is 0!
Double points if you can tell me what this means.
How a graph appears when a root has a multiplicity of 2.
What is when the graph touches the x-axis at the value of the root without crossing the x-axis? Instead it bounces off in a new direction creating a tangent point.
The shape we make that generally fits the shape of our real-world data such that we can apply math and make predictions.
What is a model?
Factor the following
2x^2+7x+3
What is
(2x+1)(x+3)