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Given the following polynomial, find

a. the zerros and the multiplicity of each

b. where the graph crosses or touches the x-axis

c. number of turning points

d. end behavior

f(x)=(x-1)(x-5)

• calculus -

a). Zeros are at x = 1 and 5.
Multiplicity of each is one.

b). at x=1 and x = 5 is where y = 0

c). f'(x) - 0 at turning points (maxima or minima). That occurs when 2x = 6
x = 3.

d). For very large |x| (positive or negating x), f(x) increases as a parabola upward to infinity.

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