If c is a zero of even multiplicity for a function f, then the graph of f ______ the x-axis at c.

Solution:

If c is a zero of even multiplicity for a function f, then the graph of f touches the x-axis at c.

For example, let f(x) = (x - 4)2

The zero of f(x) is x = 4 is a value of c which is an even multiple.

Now observe the below graph. We observe that the graph touches the x-axis at x = 4.

graph of f(x) touches the x axis if c is zero of even multiplicity for the function

If c is a zero of even multiplicity for a function f, then the graph of f ______ the x-axis at c.

Summary: 

If c is a zero of even multiplicity for a function f, then the graph of f touches the x-axis at c.

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