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stellarik [79]
3 years ago
7

Write the equation of the graph shown below in factored form.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

  y = (x +2)(x -1)(x -3)

Step-by-step explanation:

For each x-intercept (r) the corresponding factor is (x -r). For x-intercepts -2, 1, 3, the factors are ... (x+2), (x-1), (x-3). Then the equation is ...

  y = (x +2)(x -1)(x -3)

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This corresponds with the definition of a function:  A function is a set of ordered pairs in which each element of the domain (x) is mapped to no more than one element of the range (y).  Since every x has no more than one y, there will be no two points hit by the same vertical line.

When we have the graph of a function, to determine if it has an inverse, we use the Horizontal Line Test: if a horizontal line hits more than one point anywhere on the graph, the function does not have an inverse.

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