Linear Functions Worksheet

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Notes for 2.3 Linear Functions (pp. 214 – 220)
Name:
Date:
Topics: Linear Functions, Standard Form, Slope, Average Rate
Instructor:
of Change, Models
I. Linear Functions (p.214)
A function f is a linear function if ________________________ for real numbers a and b.
a ≠ , then the domain and the range of the linear function are both ________________.
If
0
If a = 0, then the equation becomes the constant function, _______________. In this case, the
domain is ___________ and the range is ___________.
II. Graphing a Linear Function (pp.214 – 216)
A. Graphing using the intercepts:
Recall: The x-intercept is _____________________________________________________ and
is the point ( 0, #).
Ex. Graph f(x) = -2x + 4 . Label each intercept. State the domain and range.
B. Graphing a constant function:
Ex. Graph f(x) = 2. Label any intercepts. State the domain and range.
This graph is a _____________________line and is a function.
C. Graphing x = a:
Ex. x = – 3 . Label any intercepts. State the domain and range.
This graph is a _____________________ line and is not a function. (Why?)

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