What other names can represent Mrs.

Land?

What other names can represent you?

Answer the following questions regarding Graph D:

1. What is its function notation?a) f (x) = mx + bb) 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 1.3I can recognize algebraic and graphicalrepresentations 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

Function Notation

Linear FunctionsFormf(x) = mx + b where m and b are real

numbers

Description Straight Line Does not have a maximum or minimum

point

Function Families

Exponential FunctionFormf(x) = a . bx 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 FunctionFormf(x) = ax2 + 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 FunctionFormf(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 FunctionFormEquation 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 theindependent increases. Function increases across the entire domain

Up, Down or Neither

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. 19-25

Increasing Decreasing Constant Combo

Practice

Absolute MinimumIf there is a point that has a y-coordinate thatis less than the y-coordinates of every otherpoint on the graph.

Least, Greatest, or Neither

Absolute MaximumIf there is a point that has a y-coordinate thatis greater than the y-coordinates of every otherpoint on the graph.

With a partner, complete pg. 40 #1

Use the graphs from pgs. 19-25

Ab. Min Ab. Max

Practice

With a partner, complete pgs. 47 - 51

Practice