How do you find the left and right behavior of a graph?

[organickoala248]

**Leading Coefficient Test (**right hand behavior)

1. If the leading coefficient, an, of the polynomial is positive, then the right hand side of the graph will rise towards infinity.
2. If the leading coefficient, an, of the polynomial is negative, then the right hand side of the graph will fall towards - infinity.

[brownzebra758]

Use the Leading Coefficient Test to determine the end behavior of the graph of the polynomial function f(x)=−x3 5x . Solution: Because the degree is odd and the leading coefficient is negative, the graph rises to the left and falls to the right as shown in the figure.

Additionally, how do you find the Y intercept? To find the y intercept using the equation of the line, plug in 0 for the x variable and solve for y. If the equation is written in the slope-intercept form, plug in the slope and the x and y coordinates for a point on the line to solve for y.

Simply so, what is end behavior of a graph?

End Behavior of a Function. The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

What is an even multiplicity?

If the multiplicity is odd, the graph will cross the x-axis at that zero. That is, it will change sides, or be on opposite sides of the x-axis. If the multiplicity is even, the graph will touch the x-axis at that zero. That is, it will stay on the same side of the axis.