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25 questions
If the graph of a function crosses the x-axis, what does that mean about the multiplicity of that zero?
Even
Odd
None
If the there is a turning point on the x-axis, what does that mean about the multiplicity of that zero?
Even
Odd
None
The degree of a polynomial determines...
the maximum number of x-intercepts
the number of turning points
if the end behavior is up or down
the y-intercept
Given
f(x) = 10x2(2x−2)3(x2+3) ,
what is the multiplicity of x=0 ?
10
3
2
0
Given f(x) = (2x +6)7(x−3)4 ,
what is the multiplicity of the root x=−3 ?
7
2
6
4
Which graph represents f(x) = −3x(x−1)2(x+3)3 ?
Even Multiplicities have which of the following effects on the x-axis?
touches and bounces back
wiggle
crosses the x-axis
For each function, determine the real zeros and state the multiplicity of any repeated zeros.
{0 mult. 3}
{0, 3, 1}
{0, −2, −1}
{−2, 3, 1}
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