The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before returning.

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The graph below represents Maria’s distance from home one day as she rode her bike to meet friends and do a couple of errands for her mom before returning home. What do the horizontal lines on the graph represent? Where in the graph shows her taking care of the 2 errands? Compare how she traveled at the beginning to how she traveled at the very end. Create Maria’s story so that it matches the graph.

Review HW

Characteristics of Functions

Intercepts x-intercept – the point at which the line intersects the x-axis at (x, 0) y-intercept – the point at which the line intersects the y-axis at (0, y)

Find the x and y intercepts, then graph. -3x + 2y = 12

Increasing, Decreasing, or Constant Sweep from left to right and notice what happens to the y-values Increasing goes up (L to R) Decreasing falls down (L to R) Constant is a horizontal graph

Continuous vs Discrete Continuous has NO breaks Discrete has gaps or breaks

Extrema Minimum Point – greatest value of the function Maximum Point – least value of the function

Domain & Range Domain – all x-values of a function Range – all y-values of a function

Notation Interval – represents an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included Set – using inequalities to describe the values

Asymptote A line that a graph gets closer and closer to, but never crosses or touches

Characteristics Domain: Range: Intercepts: Increasing or Decreasing? Maximum or Minimum?

Characteristics Domain: Range: Intercepts: Increasing or Decreasing? Maximum or Minimum?

Characteristics Domain: Range: Intercepts: Increasing or Decreasing? Maximum or Minimum? Horizontal Asymptote:

Characteristics Domain: Range: Intercepts: Increasing or Decreasing? Maximum or Minimum? Horizontal Asymptote:

Characteristics of Functions Worksheet 5 problems Classwork Characteristics of Functions Worksheet 5 problems

Characteristics of Functions Worksheet 6 problems Homework Characteristics of Functions Worksheet 6 problems