1.1 Flashcards
Domain
The set of all input values
Definition of Function
A function is a relationship that assigns every element of the set D to a unique element of the set R.
Range
The set of all output values
How does a person check if an equation is a function?
The vertical line test
Three characteristics common to all polynomials
- Domain is all reals
- Continuous: no holes/breaks
- Smooth: no sharp changes
Concavity of a second degree leading term
If the leading term is positive, the vertex is a minimum and the function is concave up.
If the leading term is a minimum, the vertex is a maximum and the function is concave down.
Vertex point
(-b/2a, f(-b/2a) + c)
Range of a semicircle
0 <= r
Slope intercept form
y=mx+b
Point-slope form
y-y1=m(x-x1)
Same slope
Parallel
Opposite reciprocal slope
Perpendicular
x-axis symmetry
Given (x,y), the point (x,-y) also exists on the function.
Always fails the vertical line test.
y-axis symmetry
Given (x,y), the point (-x,y) also exists on the function.
Origin symmetry
Given the point (x,y), the point (-x,-y) also exists on the function.
