__Category__: Analytic Geometry"Published in Vacaville, California, USA"

Sketch the graph of a polynomial:

__Solution__:

Consider the given equation above

Since the given equation, is already factored, then we can get the x-intercept by setting y = 0. The x-intercept is 1.

If we set x = 0, the y-intercept of the given equation is

Since we now the x-intercept, then we can sketch the location or direction of a curve as follows

If x < 0, then y = (+)⁵ = (+)

If 0 < x < 1, then y = (+)⁵ = (+)

If x > 1, then y = (-)⁵ = (-)

Here's the graph of a polynomial:

Photo by Math Principles in Everyday Life |