Can you answer the following questions about functions?

1. How can you determine if a graph is function?
2.  How can you determine if given several points they are a function without using a graph?
3.  What is the range of a function?
4.  What is the domain of a function?
5.  How can you determine a linear vs a nonlinear function?
6.  Identify a, b, c in the following quadratic function.
        y = -3x2 + 4x - 9
7.  What shape does a quadratic function create?



Answers Below
1. The vertical line test
2.  Check to see if the x repeats, if it does it is not a function.
3.  The range is the y value in the coordinates or the output.
4.  The domain is the x value of the coordinate or the input.
5.  A linear function has the exponent of 1, while a nonlinear function has an exponent greater than one.
6. a = -3, b = 4, c = -9
7.  A quadratic function creates a u shaped curve called a parabola 
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