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 |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?

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

 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

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

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

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

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

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

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

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

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

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

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.

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.

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

 With a partner, complete pgs