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Identifying Features of Linear and Exponential Functions S tandard: A.F.IF.4 Essential Question: How do I identify key features from a graph of a linear or exponential function?
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What to identify for a linear function... x-intercept y-intercept increasing / decreasing / constant domain / range rate of change (slope) end behavior
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Reminder
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Reminders: When finding intercepts, plug in 0 for the other coordinate and solve. Or just look at the graph and see where the graph of the line touches each axis. The domain (all x-values) and the range (all y-values) will be "All Real Numbers" for each linear function. Asymptote: a line that the curve continually gets closer to but never touches (you will only be responsible for the horizontal asymptote of an exponential function).
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Let's Graph... G raph the following equation by a table of values or by using slope intercept form. Identify the domain, range, x-int, y-int, rate of change, intervals of inc/dec., and end behavior. f(x) = 2x - 3
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Let's Graph... G raph the following equation by a table of values or by using slope intercept form. Identify the domain, range, x-in, y-int, rate of change, intervals of inc/dec., and end behavior. f(x) = 1/2x + 2
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Let's Graph... G raph the following equation by a table of values or by using slope intercept form. Identify the domain, range, x-in, y-int, rate of change, intervals of inc/dec., and end behavior. f(x) = -x - 1
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What to identify for a exponential function... x-intercept y-intercept increasing/decreasing d ecay/ growth d omain/range horizontal asymptote end behavior
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, and end behavior.
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(1/2)x, and end behavior.
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2(1/2)x, and end behavior.
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Class work / Homework: Your book, pg. 371-374, #'s 19-24 If you do not finish, it is homework, along with a worksheet.
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