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There are 2 multiplicities that will control the graph

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If the graph is just touching the x-axis it may also referred to as bounce off on the x-axis. The multiplicity is referring to the number of times a factor appears in the a polynomial.

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In the case that the zeros are the same, the even multiplicity, zeroes barely touch the x-axis before turning the way it came, whereas odd multiplicities go through the y-axis.

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Even multiplicity- makes the line of the graph touch the x axis and then bounce back to where it came from.
Odd multiplicity- This is when the line of the graph passes through the x axis.

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The multiplicity makes the graph bounce. If the root has an odd multiplicity at root c, the graph of the function crosses the x-axis at x=c. If the root has an even multiplicity at root c, the graph meets but doesn't cross the x-axis at x=c.

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When the power of the zero is odd, the line goes through the x-axis. When the power of a zero is even it touches the x-axis, but moves away immediately after. The powers of the zeroes are called "multiplicities". Multiplicities are determined by the power of the zeros.

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Suzanne A, See L, Stephanie G, Julianna B

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Suzanne A, See L, Stephanie G, Julianna B

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The "multiplicity" barley touches the x-axis and then turns back around the way it came from with an even degree. With an odd degree, the "multiplicity" crosses through the x-axis.

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The multiplicity will look like depending on the multiplicity even or odd and the leading coefficient is negative or positive.
The multiplicity even is touch on the x-axis point and the odd will cross the x-axis point. Positive leading coefficient is same side and negative leading coefficient is opposite.

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If the multiplicities are the same they dont intersect with each other they bounce off the x-axis. The point of infection is the value of (X) where the graph changes the concavity from concave upward to downward (vice versa) , Basically odd graphs. Factors that occur an even number of time are squares so they dont change side, squares that are always positive, this means that the X-intercept corresponding to an even multiplicity. ) can't cause the graph change because it can't be a positive or a negative.

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The multiplicities will show a bounce, meaning that it bounces off of the point, and then away. If it wasn't, it would be a shoot-through, meaning it would go straight through the point.

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When multiplicity happens it's when the same factor repeats. When the multiplicity is odd it crosses the x-axis, when it is even it meets but does not cross basically it bounces off the x-axis.

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Depending on the power it would either kiss or shoot through the x axis

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If the multiplicities are the same number they keep "bouncing" off the x-axis and don't pierce it because their isn't a positive and a negative only one or the other.

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to graph a polynomial function that has zeros with "multiplicity" or zeros that are the same number you have to first figure out whether the zero shoots through the x-axis or "kisses" the x-axis by looking at the power. when a power on a zero is odd then it shoots through.  when a power on a zero is even, it is a kiss.

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If the multiplicity is even, the graph will be tangent(just touch) to the x-axis at the root that is repeated. If the multiplicity is odd, the graph will strike-through the root that is repeated.

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If a multiplicity were to be graphed, it would just be shown as whatever the multiplicities are. The zeros with multiplicities would be graphed in the same spot anyway. If the multiplicities are even, it will touch the x-axis, and if it is odd, it will go through the x-axis.

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if there is a recurring number there would be one less zero on the graph since it is the same number, and it would touch only and not go through

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When graphing a polynomial function that has the multiplicity with repeated zeros either being even or odd. when having all the same zeros on the graph then the multiplicity of the zero is determined based off of which way the graph will go. So from which the graph first started once it crosses the x-axis at the zero, it will just go back from the same way it came. The Zeros that are odd will always cross the x-axis.

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The multiplicity of a root affects the shape of the graph of a polynomial. If a root of a polynomial has odd multiplicity, the graph will cross the x-axis at the the root.If even multiplicity, the graph will touch the x-axis at the root but will not cross the x-axis.

As the multiplicity of the root increases, the graph flattens out more and more near the root.

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When you graph the polynomial function with multiplicity you have to look if the root is repeated evenly or odd. When it is even the graph will open up and the repeated root will be graphed with nothing else. The even roots will only touch the graph, while the negative amount of roots will cross through the graph.

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The way that the graph looks mainly depends on the highest exponent of equation. For the numbers, if there are zeros that are the same then there would be  a number of less points that there are same numbers since you would have a point already there.

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You will have to check if your repeated number is repeated even or odd times (multiplicity). Evens bounce odds go through. The Even would bounce on the x axis instead of piercing through so it can be even and go upwards again.

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.A multiplicity is how many times a zero is repeated. On a graph, even multiplicities go back the way they came from after coming in contact with the x-axis, and odd multiplicities continue the way they were going after coming in contact with the x-axis.

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When the multiplicity are factors that occur an even number of times and form squares.

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If a polynomial has zeros with multiplicity that means the points are going to be at only one spot.

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When a polynomial has a root of multiplicity, the same root is repeated k times.