Case 1 : Linear Graphs where n = 0

Case 1 : y = ax^n , where n = 0

Linear graph where the value of a determines the gradient and c represents the y-intercept.

Since a^0 = 1 and a must be a real number, y = 1 + c .

Equation 1 : y=2x^0
                       =2(1)
                       =2

Equation 2 : y=-2x^0
                       =-2(1)
                       =-2

Equation 3 : y=0x^0
                       =0(1)
                       =0

The features of these graphs include a constant gradient and no x-intercept because the x is raised to power 0. Because there is no x-intercept, the graph is a horizontal straight line that cuts the y-axis at 2, -2 and 0 respectively for equations 1, 2 and 3.

There is also a lack of a turning point, since the gradient doesn't change.