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What other names can represent you?. Answer the following questions regarding Graph D: 1. What is its function notation? a)f (x) = mx + b b)f (x) = a.

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Presentation on theme: "What other names can represent you?. Answer the following questions regarding Graph D: 1. What is its function notation? a)f (x) = mx + b b)f (x) = a."— Presentation transcript:

1 What other names can represent you?

2 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?

3 LT 1.3 I can recognize algebraic and graphical representations of functions.

4  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

5 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

6 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

7 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

8 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

9 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

10 Increasing Function  When the dependent increases as the independent increases.  Function increases across the entire domain

11 Decreasing Function  When the dependent decreases as the independent increases  Function decreases across the entire domain

12 Constant Function  Function does not change  Function remains constant over entire domain

13  With a partner, complete pg. 38 #1  Use the graphs from pgs. 19-25 Increasing Decreasing Constant Combo

14 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.

15 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.

16  With a partner, complete pg. 40 #1  Use the graphs from pgs. 19-25 Ab. Min Ab. Max

17  With a partner, complete pgs. 47 - 51


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