Math Relations And Functions

what are the 4 types of functions

1. Linear 2. Quadratic 3.Absolute Value 4.Expodential

what is a quadratic function

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

what is a Function ?

A relation in which each element of the domain corresponds to one and only one element in the range . No two ordered pairs have the same first elements. *elements in the domain cannot be repeated*

what is a absolute value function

An absolute value function is a function that contains an algebraic expression within absolute value symbols. Recall that the absolute value of a number is its distance from 0 on the number line. The absolute value parent function, written as f ( x ) = | x | , is defined as.

what is a linear function

Definition of a Linear Function. A linear function is any function that graphs to a straight line. What this means mathematically is that the function has either one or two variables with no exponents or power

If you saw this chart what would the Domain and Range be I ------I I x I Y I I 4 I 3 I I 6 I 7 I I 8 I 9 I I------I

Domain {4,6,8} Range {3,7,8}

what is the value of F(5) if F(x)=x squared+3

F(5)=28

What is the vertical line test ?

If each vertical line drawn through the graph of a relation intersects the graph at one and only one point then the relation is a function

what is a Range ?

Set consisting of all second elements of the ordered pairs (y-coordinates). The range is also referred to as the output of a relation.

what is a exponential function

a function whose value is a constant raised to the power of the argument, especially the function where the constant is e. and looks like the picture

what is a Relation ?

a relation is simply a set of input and output values,represented in ordered pairs

what is a Domain ?

set consisting of all first elements of ordered pairs (x-coordinate). The domain is also referred to as the input for a relation.

find the value of x when F(x)=2 function is F(x)=-3x+2

x=0

what is an example of a function ?

{(0,2),(2,4),(1,2),(3,4)}

what is an example of a set of coordinates that are not a function ?

{(5,7),(5,1),(5,0)(4,7)}