QQuestionMathematics
QuestionMathematics
"End Behavior of Polynomial Functions
Identify the leading coefficient and degree of the polynomial function f(2$)= 5x^2 + 7x−3.
• Degree: 2
• Leading Coefficient: 5
• End Behavior: As x→∞, f(2$)→∞; as x→−∞, f(2$)→∞"
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Answer
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Step 1: Identify the leading coefficient and degree of the polynomial function.
The given polynomial function is $f(x) = 5x^2 + 7x - 3$.
Step 2: Determine the degree of the polynomial function.
In this polynomial, the highest power of the variable $x$ is 2.
Therefore, the degree of the polynomial function is 2.
Final Answer
• Degree: 2 • Leading Coefficient: 5 • End Behavior: As $x \to \infty$, $f(x) \to \infty$; as $x \to -\infty$, $f(x) \to \infty$
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