SOLUTION: 1)Given f(X)= x³-5x:
a)Use the leading coefficient test to determine the end result behavior of the graph of f(x)
b)Find the zeros of f(x)
c)Demonstrate the remaining steps ne
Algebra ->
Polynomials-and-rational-expressions
-> SOLUTION: 1)Given f(X)= x³-5x:
a)Use the leading coefficient test to determine the end result behavior of the graph of f(x)
b)Find the zeros of f(x)
c)Demonstrate the remaining steps ne
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Question 435111: 1)Given f(X)= x³-5x:
a)Use the leading coefficient test to determine the end result behavior of the graph of f(x)
b)Find the zeros of f(x)
c)Demonstrate the remaining steps necessary for graphing this function and use this information to graph f(x).
You can put this solution on YOUR website! 1)Given f(X)= x³-5x:
a)Use the leading coefficient test to determine the end result behavior of the graph of f(x)
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As x goes to -inf, x^3 goes to -inf, so f(X) goes to -inf.
As x goes to +inf, x^3 goes to +inf, so f(X) goes to +inf.
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b)Find the zeros of f(x)
Solve x^3-5x = 0
x(x^2-5) = 0
x(x-sqrt(5))(x+sqrt(5)) = 0
x = 0 or -sqrt(5) or +sqrt(5)
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c)Demonstrate the remaining steps necessary for graphing this function and use this information to graph f(x).
y-intercept = 0^3-5*0 = 0
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Other analysis depends on what your text requires.
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Cheers,
Stan H.
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