Download - 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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Page 1: 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.

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.

1. What do the horizontal lines on the graph represent?2. Where in the graph shows her taking care of the 2

errands?

3. Compare how she traveled at the beginning to how she traveled at the very end.

4. Create Maria’s story so that it matches the graph.

Page 2: 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.

Review HW

Page 3: 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.

Characteristics of Functions

Page 4: 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.

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)

Page 5: 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.

Find the x and y intercepts, then graph.

-3x + 2y = 12

Page 6: 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.

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

Page 7: 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.

Continuous vs Discrete

• Continuous has NO breaks

• Discrete has gaps or breaks

Page 8: 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.

Extrema

•Minimum Point – least value of the function

•Maximum Point – greatest value of the function

Page 9: 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.

Domain & Range

• Domain – all x-values of a function

• Range – all y-values of a function

Page 10: 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.

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

Page 11: 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.

Asymptote

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

Page 12: 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.

Characteristics1. Domain:

2. Range:3. Intercepts:4. Increasing

or Decreasing?

5. Maximum or Minimum?

Page 13: 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.

Characteristics1. Domain:

2. Range:3. Intercepts:4. Increasing

or Decreasing?

5. Maximum or Minimum?

Page 14: 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.

Characteristics

1. Domain:2. Range:3. Intercepts:4. Increasing or

Decreasing?5. Maximum or

Minimum?6. Horizontal

Asymptote:

Page 15: 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.

Characteristics

1. Domain:2. Range:3. Intercepts:4. Increasing or

Decreasing?5. Maximum or

Minimum?6. Horizontal

Asymptote:

Page 16: 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.

ClassworkCharacteristics of

FunctionsWorksheet 5

problems

Page 17: 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.

HomeworkCharacteristics of

FunctionsWorksheet 6

problems