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Key concepts:
Key concepts:
Graphing functions
In this lesson we will learn how to graph a function, including finding these main components:
In this lesson we will learn how to graph a function, including finding these main components:
Domain
Range
X-Intercepts
Y-Intercepts
Zeros
Odd, Even, or Neither?
Increasing Intervals
Decreasing Intervals
Local Maximums
Local Minimums
Maximum
Minimum
Please watch this video!!
Please watch this video!!
It details the specific steps you need to take in order to find the key components of graphing a function.
It details the specific steps you need to take in order to find the key components of graphing a function.
Real World Example:
Real World Example:
Pablo charges $20 an hour to teach salsa dancing. What is the domain and range of how much money Pablo can make off salsa dancing lessons.
The number of hours he teaches will go on the x-axis and the amount of money Pablo makes goes on the y axis.
The least amount of money he can make is $0 dollars because he can only make money and he can't go in debt.
The equation is y=20x because it costs $20 an hour and x represent the number of hours he teaches.
The domain is [o,∞) and the range is also [0,∞)
SAT Problem:
SAT Problem:
Define f(x)=x−4/x−7.
Give the range of f.
(−∞,4)∪(4,7)∪(7,∞)
The correct range is not among the other responses.
(−∞,4)∪(7,∞)
(−∞,4)∪(4,∞)
(−∞,7)∪(7,∞)
The correct answer is: The correct range is not among the other responses.
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