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Week 5 Discussion Questions
What similarities and differences do you see between functions and
linear equations studied in Ch. 3?
An equation is a numeric expression with an equal sign. Moreover, a
linear equation maps points onto the coordinate plane that can be connected.
A function is an expression that for any value of x, there is one and only one
value of y. In addition, a function can be a straight line (linear) or a curved
line (nonlinear). When we graph a linear equation it produces a straight line
whereas, when we graph a function it can be any curve depending upon
definition of function. Functions maps input (members of domains) and
output (members of the range).
Are all linear equations functions?
No, every linear equation is not a
function.
Is there an instance when a linear equation is not a function?
Support
your answer.
Yes, there is an instance when a linear equation in not a function. In order
to be considered a function every x must have a unique y. A true function
has to pass the vertical line test, which says if an expression is a function
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This note was uploaded on 04/05/2010 for the course MTH/116 AAGN0BTWV3 taught by Professor Fox during the Spring '10 term at University of Phoenix.
 Spring '10
 FOX

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