Function Input and Output: Guided Notes
FUNCTION INPUT
The numbers that work IN a function is called the function’s ________________________.
Graph Approach: When finding the __________________, analyze the _____________________
values of the graph.
DOMAIN: _____________
DOMAIN: _____________
We use _____________________________!
Parenthesis ( , ): when the graph does not include the end point
Brackets [ , ]: when the graph does include the end point
Equation Approach: When finding the __________________, find the numbers that __________
work. The _______________ consists of the other values!
CASES:
1. ___________________________: Can’t have negative numbers underneath a radical.
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2. ___________________________: Can’t have zero in the denominator.
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FUNCTION OUTPUT
The numbers that are the function’s OUTPUTS are called the function’s _______________________.
Approach: When finding the __________________, analyze the ______________ of the function of
its _______________________________.
RANGE: _______________
RANGE: _______________
Examples. Find the domain and range of each equation/graph below.
f(x) = √x + 4
DOMAIN: ______________
RANGE: ____________
g(x) = x2 + 6
DOMAIN: ______________
RANGE: ____________
Match each function to its equivalent form:
ABSOLUTE VALUE
y = sin(x)
LINEAR
y = x2
COSINE
y = |x|
INVERSE
y = 1/x
QUADRATIC
y = a(bx)
SINE
y = cos(x)
EXPONENTIAL
y = mx + b
PARENT FUNCTIONS
Group-Made Definition:
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Definition:
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