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We learned before that, when x is a critical point of the function f(x), we do not learn anything new about the function at that point: it could increasing, decreasing, a local maximum, or a local minimum. We can often use the second derivative of the function, however, to ﬁnd out when x is a local maximum or a local minimum.

A rational function will have a y-intercept when the input is zero, if the function is defined at zero. A rational function will not have a y-intercept if the function is not defined at zero. Likewise, a rational function will have x-intercepts at the inputs that cause the output to be zero.

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3.7 To Function or Not to Function A Practice Understanding Task Identify the two variables for each situation and determine which is independent and which is dependent. Then, determine if the relationship is a function and justify your reasoning. 1. A person’s name versus their social security number. 2. A person’s social security

Discover algebraic thinking with a function machine at MathPlayground.com!

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Used within another function to provide the opposite of a logical expression. The cookie is used in context with the local-storage function in the browser. This function allows the website to load faster by pre-loading certain procedures.

DO NOT LEAVE ANSWERS BLANK. If you do not know the answer or the answer is "none" or "does not apply," please write "don't know" or "none" or "does not apply." • Do not ask a doctor or hospital to complete this form. • Be sure to explain an answer if the question asks for an explanation, or if you think you need to explain an answer.