Questions: Graph the function y=x^2-6x+5 by identifying the domain and any symmetries, finding the derivatives y' and y'', finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any. Find the domain of the function. The domain is (Type your answer in interval notation.)

Graph the function y=x^2-6x+5 by identifying the domain and any symmetries, finding the derivatives y' and y'', finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any. Find the domain of the function. The domain is (Type your answer in interval notation.)
Transcript text: Graph the function $y=x^{2}-6 x+5$ by identifying the domain and any symmetries, finding the derivatives $y^{\prime}$ and $y^{\prime \prime}$, finding the critical points and identifying the function's behavior at each one, finding where the curve is increasing and where it is decreasing, finding the points of inflection, determining the concavity of the curve, identifying any asymptotes, and plotting any key points such as intercepts, critical points, and inflection points. Then find coordinates of absolute extreme points, if any. Find the domain of the function. The domain is $\square$ (Type your answer in interval notation.)
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Solution

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Solution Steps

Step 1: Find the Domain of the Function

The function given is \( y = x^2 - 6x + 5 \). Since this is a polynomial function, it is defined for all real numbers.

Final Answer

The domain is \((- \infty, \infty)\).

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