Question

Which of the following could be the graph of a function? Check all that apply
A. A Line
E. A Parabola

Answer 1

A. line
 a parabola is a quadratic function and the line that splits the parabola is called the axis of symmetry. 

Answer 2

Answer:

Both A. A Line and E. A Parabola

Step-by-step explanation:

Great question, it is always good to ask away and get rid of any doubts that you may be having.

Both A. A Line and E. A Parabola can be a graph of a function. Each is a representation of a different type of function.

A Line is a representation of a linear function. An example of a linear function would be the following,

$f(x) = 2x + 1$

A Parabola is usually a representation of a quadratic function or a function with the variable raised to an even exponent.  Which usually means each y-value has 2 x-values. An example of a function that graphs into a parabola is the following,

$f(x) = x^{2} +2$

Both of these functions are attached below with their respective graphs

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