Graph each polynomial function. Factor first if the expression is not in factored form. f(x)=(4x+3)(x+2)^{2}

Nannie Mack 2021-01-10 Answered
Graph each polynomial function. Factor first if the expression is not in factored form. f(x)=(4x+3)(x+2)2
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Alannej
Answered 2021-01-11 Author has 104 answers

Step 1 f(x)=(4x+3)(x+2)2 The function has two zeros 34,2 So, the graph of f(x) crosses the x-axis at (43,0) and (2,0) To find the y-intercept, substitute 0 for x in f(x) f(x)=(4x+3)(x+2)2
f(0)=(4(0)+3)(0+2)2 Substitute 0 for x Simplify =(3)(2)2
=12 So, the function f(x) crosses the y-axis at (0,12) Step 2 4x(x)2=4x3 The leading coefficient is 4 Since the leading coefficient is positive and the function f(x) of degree 3 (odd degree) So, the end behavior is x,f(x)
x,f(x) See the graph below image

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