Graph each polynomial function. Factor first if the expression is not in factored form. f(x)=x^{2}(x-5)(x+3)(x-1)

sjeikdom0 2021-02-12 Answered
Graph each polynomial function. Factor first if the expression is not in factored form. f(x)=x2(x5)(x+3)(x1)
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Pohanginah
Answered 2021-02-13 Author has 96 answers

f(x)=x2(x5)(x+3)(x1) The function in factored form The function has four zeros 0,5,-3 and 1. So, the graph of f(x) crossed the x-axis at (0,0), (5,0),(-3,0), and (1,0) To find the y-intercept, substitute 0 for x in f(x) f(x)=x2(x5)(x+3)(x1)
f(0)=02(05)(0+3)(01) Substitute 0 for x
=0 So, the function f(x) crosses the y-axis at (0,0) Step 2 x2xxx=x5 The leading coefficient is 1 Since the leading coefficient is positive and the function f(x) of degree 5 (odd degree) So, the end behavior is x,f(x)
x,f(x)

See the graph below

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