(U3) Lesson 2 - Have A Good Altitude

Last updated almost 3 years ago

24 questions

(U3) Lesson 2 - Have A Good Altitude

Last updated almost 3 years ago

24 questions

Today's Learning Goal:
Introduce interval notation for specifying domain, range, and intervals of increase and decrease on continuous functions.
Interpret a story context from a graph of a function using the features.
Solidify understanding of features of functions in the context of graphing a common situation.

Reminders:
Continuous functions can have any value within a specific interval and values are connected. (measureable)
Features: Maximum/minimum, domain, range,  x-intercept, y-intercept, Intervals of increase and decrease,  zero rate of change, continuous, discrete, discontinuous, Rate of change
Today's Materials:
Laptop
Pencil
Binder
Please complete the Jump Start (activator). This is independent it should be silent.

Required

Lesson Key Points:
- Interpret graphs and tables for the story it tells. 

Carmen and her dog go on a hiking trip at Ice Age Trail every year. She records her altitude, in thousands of feet, over time, in hours. 

Use the graph to answer the questions that follow.

Required

Lesson Key Points:
- Interpret graphs for the story it tells. 

- Using proper notation to specify the domain, range, intervals of increase and decrease in interval notation for continuous functions, and ordered pairs representing the maximum, minimum, x- intercept and y-intercept.  

Carmen and her dog go on a hiking trip at Ice Age Trail every year. She records her altitude, in thousands of feet, over time, in hours. 

Use the graph to answer the questions that follow.

Required

(U3) Lesson 2 - Have A Good Altitude

(U3) Lesson 2 - Have A Good Altitude

Lesson Key Points:

Lesson Key Points:

Lesson Key Points:

How long was Carmen's trip on Ice Age Trail?

What was Carmen doing during the first 5 hours of the trip?

After the first 5 hours, what was carmen doing on the trip?

During Carmen's trip, how long did it take her to reach the highest point of the mountain and what was that altitude?

At what altitude does her trip start? Is this the only time that she reaches this altitude during the trip?

Lesson Key Points:

The domain would be the lowest to greatest x values in the continuous function. Using Inequality: low \leq x \leq highUsing interval notation: [low, high]What is the domain of the function representing Carmens trip?

The range would be the lowest to greatest y-value in the continuous function. Using Inequality: low \leq y \leq highUsing interval notation: [low, high]What is the range of the function representing Carmens trip?

Reminder! Only use the x values of each increasing, decreasing, or zero r.o.c segment.What interval(s) below properly represents the interval(s) of increase of Carmens trip?

What interval(s) below properly represents the interval(s) of decrease of Carmens trip?

What ordered pair(s) represents the maximum of Carmen's trip?

What ordered pair(s) represents the minimum of Carmen's trip?

The y-intercept is where the function line intercepts or touches the y-axis. This is represented as a coordinate point (x,y). What is the y-intercept of the function representing Carmen's trip?

The x-intercept is where the function line intercepts or touches the x-axis. This is represented as a coordinate point (x,y). What is the x-intercept of the function representing Carmen's trip?

Specify the domain of the function

Specify the range of the function.

Specify the interval(s) where the function is increasing.

Identify the coordinates for the minimum of this function.

Identify the coordinates of the maximum of this function.

Identify the coordinates of the y-intercept.

Occurs at the point (18,0)

Occurs at the point (7,10)

Can be written as [0,18]

On the intervals [0,3) & (7,18]

How long was Carmen's trip on Ice Age Trail?

What was Carmen doing during the first 5 hours of the trip?

After the first 5 hours, what was carmen doing on the trip?

During Carmen's trip, how long did it take her to reach the highest point of the mountain and what was that altitude?

At what altitude does her trip start? Is this the only time that she reaches this altitude during the trip?

The domain would be the lowest to greatest x values in the continuous function. Using Inequality: low \leq x \leq highUsing interval notation: [low, high]What is the domain of the function representing Carmens trip?

The range would be the lowest to greatest y-value in the continuous function. Using Inequality: low \leq y \leq highUsing interval notation: [low, high]What is the range of the function representing Carmens trip?

Reminder! Only use the x values of each increasing, decreasing, or zero r.o.c segment.What interval(s) below properly represents the interval(s) of increase of Carmens trip?

What interval(s) below properly represents the interval(s) of decrease of Carmens trip?

What ordered pair(s) represents the maximum of Carmen's trip?

What ordered pair(s) represents the minimum of Carmen's trip?

The y-intercept is where the function line intercepts or touches the y-axis. This is represented as a coordinate point (x,y). What is the y-intercept of the function representing Carmen's trip?

The x-intercept is where the function line intercepts or touches the x-axis. This is represented as a coordinate point (x,y). What is the x-intercept of the function representing Carmen's trip?

Specify the domain of the function

Specify the range of the function.

Specify the interval(s) where the function is increasing.

Identify the coordinates for the minimum of this function.

Identify the coordinates of the maximum of this function.

Identify the coordinates of the y-intercept.

Occurs at the point (18,0)

Occurs at the point (7,10)

Can be written as [0,18]

On the intervals [0,3) & (7,18]

The domain would be the lowest to greatest x values in the continuous function.
Using Inequality: low \leq x \leq high
Using interval notation: [low, high]

What is the domain of the function representing Carmens trip?

The range would be the lowest to greatest y-value in the continuous function.
Using Inequality: low \leq y \leq high
Using interval notation: [low, high]

What is the range of the function representing Carmens trip?

Reminder! Only use the x values of each increasing, decreasing, or zero r.o.c segment.

What interval(s) below properly represents the interval(s) of increase of Carmens trip?

The y-intercept is where the function line intercepts or touches the y-axis. This is represented as a coordinate point (x,y).

What is the y-intercept of the function representing Carmen's trip?

The x-intercept is where the function line intercepts or touches the x-axis. This is represented as a coordinate point (x,y).

What is the x-intercept of the function representing Carmen's trip?

The domain would be the lowest to greatest x values in the continuous function.
Using Inequality: low \leq x \leq high
Using interval notation: [low, high]

What is the domain of the function representing Carmens trip?

The range would be the lowest to greatest y-value in the continuous function.
Using Inequality: low \leq y \leq high
Using interval notation: [low, high]

What is the range of the function representing Carmens trip?

Reminder! Only use the x values of each increasing, decreasing, or zero r.o.c segment.

What interval(s) below properly represents the interval(s) of increase of Carmens trip?

The y-intercept is where the function line intercepts or touches the y-axis. This is represented as a coordinate point (x,y).

What is the y-intercept of the function representing Carmen's trip?

The x-intercept is where the function line intercepts or touches the x-axis. This is represented as a coordinate point (x,y).

What is the x-intercept of the function representing Carmen's trip?