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What are some characteristics of the basic parent functions? (Linear…
What are some characteristics of the basic parent functions?
Linear Function
Public Domain
Characteristics
Odd
End behavior go in different directions
If a function is positive, the left side of the graph will point down and the right side will point up (increasing from left to right). If a function is negative, the left side of the graph will point up and the right side will point down (decreasing from left to right).
Straight line
Constant
Has a slope
y= mx+b where m is the rate of change (slope
Rise / run
Equation
f(x)=x
Quadratic Function
Public Domain
Characteristics
Has an axis of symmetry
Find Axis of Symmetry
. Khan, S. (2011, April 14). Retrieved June 10, 2017, from
https://www.youtube.com/watch?v=8VgmBe3ulb8&feature=youtu.be
Even
End behavior in same direction
If a function is positive, both ends will point up. If a function is negative, both ends will point down.
U- Shaped
Equation
f(x)=x^2
Absolute Value Function
GNU Free Documentation License
Characteristics
Has a vertex
#
If the vertex is the highest point, the graph has a maximum. If the vertex is the lowest point, the graph has a minimum
Definition of Vertex
(C) Vertex. (n.d.). Retrieved June 10, 2017, from
http://www.mathopenref.com/vertex.html
. 2011 Copyright Math Open Reference. All rights reserved
V- Shaped
Axis of Symmetry
#
Even
#
Equation
f(x)= |x|
