Independent and Dependent Variables
Gas in a car and the time driving in hours. What is the Independent variable?
Time in hours Or Driving time
The "x" in f(x) represents the...
input or independent variable
f(x)=3x+2, f(x)=17
x=5
f(x)=2x, Find f(30)
f(30)=60
What is the other term for the Dependent variable?
Output
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What does "f(x)" represent?
The output
f(x)=3x-2, f(x)=58
x=20
f(x)= 45x+3, Find f(-1)
f(-1)=-42
What variable does the input use?
x
Growth of a tree when watered everyday. What is the dependent variable?
growth of the tree
What does the right side of our notation represent?
f(x)=2x+1 <----------
the rule
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f(x)= -5x+7, Find f(4)
f(4)=13
What are the 3 most common letters we use to represent fucntions?
A student is keeping track of their battery life over a period of 3 weeks. What is the independent variable?
time in weeks
How do we write (x,y) in function notation?
f(x)=y
f(x)=6x+9, f(x)=129
x=20
f(x)= -100x+300, Find f(27)
f(27)=30
What method can we use to see if a graph is a function?
Vertical line test
How many dependent variables can an independent variable have?
one
What is a function?
Every input has exactly one output
f(x)=-5x-7, f(x)=-22
x=3
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True or false, when to functions intersect that means f(x)=g(x)
True