SOLUTION: Need help in understanding how to do: using/showing my work in those vocabulary words.
Function
Relation
Vertical Line test
Transformation
Absolute Value Functions for
Algebra ->
Coordinate-system
-> SOLUTION: Need help in understanding how to do: using/showing my work in those vocabulary words.
Function
Relation
Vertical Line test
Transformation
Absolute Value Functions for
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Question 967427: Need help in understanding how to do: using/showing my work in those vocabulary words.
Function
Relation
Vertical Line test
Transformation
equation in the form of y = f(x).
there is only one value of y for each and every value of x.
Relation
equation in the form of y = f(x).
there can be more than one value of y for any value of x.
all it takes is one value of x to have more than one value of y associated with it and the equation is a relation and not a function.
Vertical Line test
vertical line test is used to determine if you have a function or a relation.
if the vertical line only intersects with one value of y, then you have a function.
if the vertical line intersects with more than one value of y, then you have a relation.
Transformation
the graph of an equation is either moved or flipped over or stretched or shrunk by some formula.
Absolute Value Functions for f(x) = |x-2|
f(x) = |x-2|
if (x-2) is positive, then absolute value of (x-2) is equal to (x-2)
if (x-2) is negative, then absolute value of (x-2) is equal to -1 * (x-2).
in other words, the absolute value of an expression is always positive.\
you can get |x-2| = 0
you can get |x-2| = 5
you cannot get |x-2| = -5
|0| = 0
|5| = 5
|-5| = 5
Graphing Relations for x = 1 - y^2
equation is x = 1 - y^2
solve for y^2 to get y^2 = 1 - x
solve for y to get y = plus or minus square root of (1-x).
that graph will look like this.
the vertical line test will tell you that this is a relation and not a function.
