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LIVE LESSON RECORDING:
VIDEOS FROM OUR TEACHERS:
1_01 Ex 1.movDomain and Range
Domain and Range
1_01 Ex 2.movIncreasing/Decreasing Intervals and Relative Maximum/Minimum
Increasing/Decreasing Intervals and Relative Maximum/Minimum
1_01 Ex 3.movDomain and Range and Asymptotes
Domain and Range and Asymptotes
VIDEOS FROM OUR FAVORITES:
HELPFUL GRAPHICS:
VERTICAL LINE TEST
VERTICAL LINE TEST
Take a ruler or other straight edge and draw a line parallel to the y-axis for any value of x. If the vertical line intersects the graph more than once for any value of x then the graph is not a function.
Khan Academy Practice:
Khan Academy Practice:
DOMAIN AND RANGE
DOMAIN AND RANGE
For Domain you are looking at what x-values the graph covers.
For Range you are looking at what y-values the graph covers.
Khan Academy Practice:
Khan Academy Practice:
FUNCTIONS
FUNCTIONS
A Function represents a special relationship where each input (x) has a single output (y).
Characteristics of a Function:
Characteristics of a Function:
For each value in the domain, there is only one corresponding value in the range.
All elements in the domain must be used.
When graphed, it passes the Vertical Line Test for every x value.
TRANSFORMATIONS OF FUNCTIONS
TRANSFORMATIONS OF FUNCTIONS
These rules apply to all functions.
Each change to the parent function will transform the graph.
Khan Academy Practice:
Khan Academy Practice:
EXTRA PRACTICE:
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