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Published byIris Thompson Modified over 9 years ago
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What other names can represent you?
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Answer the following questions regarding Graph D: 1. What is its function notation? a)f (x) = mx + b b)f (x) = a |x + b| + c 2. Does it have increasing OR a combination of increasing, decreasing or constant functions? 3. Does it have an absolute maximum OR absolute minimum?
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LT 1.3 I can recognize algebraic and graphical representations of functions.
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A way to represent functions algebraically Allows you to identify the independent and dependent quantities The function f(x) reads “f of x” ◦ x indicates the independent quantity
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Linear Functions Form f(x) = mx + b where m and b are real numbers Description Straight Line Does not have a maximum or minimum point
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Exponential Function Form f(x) = a. b x where a and b are real numbers, and b is greater than 0 but is not equal to 1. Description Smooth curves Does not have a maximum or minimum
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Quadratic Function Form f(x) = ax 2 + bx + c, where a, b, and c are real numbers, and a is not equal to 0. Description Smooth curves ◦ Looks like the letter U ◦ Parabola Does have a maximum or minimum
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Linear Absolute Value Function Form f(x) = a|x + b| + c, where a, b, and c are real numbers, and a is not equal to 0. Description Straight lines ◦ Looks like the letter V ◦ Has a positive and negative side Does have a maximum or minimum
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Linear Piecewise Function Form Equation changes for different parts, or pieces, of the domain Description Straight lines and line segments May or may not have a maximum or minimum
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Increasing Function When the dependent increases as the independent increases. Function increases across the entire domain
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Decreasing Function When the dependent decreases as the independent increases Function decreases across the entire domain
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Constant Function Function does not change Function remains constant over entire domain
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With a partner, complete pg. 38 #1 Use the graphs from pgs. 19-25 Increasing Decreasing Constant Combo
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Absolute Minimum If there is a point that has a y-coordinate that is less than the y-coordinates of every other point on the graph.
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Absolute Maximum If there is a point that has a y-coordinate that is greater than the y-coordinates of every other point on the graph.
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With a partner, complete pg. 40 #1 Use the graphs from pgs. 19-25 Ab. Min Ab. Max
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With a partner, complete pgs. 47 - 51
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