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Level 522

Types of Functions


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Polynomial function
The graph crosses the x-axis up to n times and has up to n - 1 vertices (points where the function changes direction). The domain is all real numbers.
Quadratic Function
a function that can be written in the form f(x)=ax^2+bx+c, where a, b & c are real numbers and a is not equal to zero
Linear Function
y = mx + b
direct variation function
The straight-line graph goes through the origin. The domain is x ≥ 0 (as shown) for most real-world applications.
Power function
The graph contains the origin if b is positive. In most real-world applications, the domain is nonnegative real numbers if b is positive and positive real numbers if b is negative.
Exponential Function
y = ab^x
Inverse Variation function
Both of the axes are asymptotes. The domain is x ≠ 0. For most real-world applications, the domain is x > 0.
Rational Algebraic function
A rational function has a discontinuity (asymptote or missing point) where the denominator is 0; it may have horizontal or other asymptotes.
Absolute Value Function
any f(x) = | x |
Linear-Piecewise Function
- Many different line segments put together to form one graph
ordered pair
A pair of numbers that can be used to locate a point on a coordinate plane.
Relation
A Smart Art graphic type that compares connections between concepts.
y-intercept
the point where the line crosses the y-axis
x-intercept
the point where the line crosses the x-axis
vertex
The point where two sides meet. (Shared end points of the line segments of a polygon.)
power funciton
f(x) = axb (a variable with a constant exponent)
exponential
domain-all real numbers
linear
A relationship that graphs as a straight line. This means y is changing at a constant enterval.
f(x)=ax
Direct Variation
quadratic
2nd degree
power
a number produced by raising a base to an exponent
f(x)=a/x^n
Inverse Variation
y=mx+b
Line equation
ax+by=c
How do you write an equation in standard form?
y=ax^2+bx+c
Quadratic (Standard Form)
y=kx
Direct Variation
y=k/x
inverse variation
y=a*r^x
Exponential (Standard Form)
y=x
(x,y)-(y,x)
y=x^2
Quadratic (Parent Function)
y=2/x
Inversely Proportional (Parent Function)
f(x)=mx+b
linear function
f(x)=ax^2+bx+c
Quadratic (Function Notation)
f(x)=kx
Directly Proportional (Also linear) (Function Notation)
f(x)=k/x
Inversely Proportional (Function Notation)