Respuesta :

Answer:

D. Line

Step-by-step explanation:

If there are equals -pi/6 and nothing else then it’s going to be a line.

The shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .

What is graphed by function means?

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

What is constant function?

A constant function is a function whose value is the same for every input value. For example, the function y(x) = 4 is a constant function because the value of y(x) is 4 regardless of the input value x. The graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).

According to the question

The name of the shape graphed by the function

Ф = [tex]\frac{-\pi }{6}[/tex]

As we can see that Ф is a constant function

and per definition of constant function :

A constant function is a function whose value is the same for every input value and the graph of the constant function y = c is a horizontal line in the plane that passes through the point (0, c).

i.e

graphed by the function

Ф = [tex]\frac{-\pi }{6}[/tex]

will be a horizontal line which passes through point (0, [tex]\frac{-\pi }{6}[/tex] )

Hence, the shape graphed by the function Ф = [tex]\frac{-\pi }{6}[/tex] is a line .

To know more about graph of a function here:

https://brainly.com/question/27757761

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