Lesson 5 Give Me Five Practice Understanding
Interpret function notation to match a function with its features.
How can I visualize a graph from knowing its features?
How can function notation describe a function?
How does function notation describe relationships between two functions?
Technology guidance for today’s task:
- Add Two Functions Together Graphically:
Open Up the Math: Launch, Explore, Discuss
You have two sets of cards, A cards and B cards.
Lay out all the A cards. Each A card gives you a representation of a function.
Select a B card and read each statement aloud.
Find an A card that matches all 5 statements on the B card and justify each statement.
Record the match and your justification for it.
Keep the pairs together for the next part of the lesson.
Proceed until all the A and B cards are matched. Be sure that you can justify all 5 statements on the B card with the function that you match it with.
A1 matches with:
A2 matches with:
A3 matches with:
A4 matches with:
A5 matches with:
A6 matches with:
After you match the cards, complete the information below. Use both the A and the B cards in the pair for reference:
Complete this information about the pair of cards that includes A1
Write the equation of
Find an exact value for
Complete this information about the pair of cards that includes A2
What are the intervals of increase and decrease for
Complete this information about the pair of cards that includes A3
Complete this information about the pair of cards that includes A4
Write the equation and graph
Complete this information about the pair of cards that includes A5
Which function is changing faster in the interval
Complete this information about the pair of cards that includes A6
Write the equation for
Ready for More?
Explain the meaning of
Find the value of
Common Phrases About Functions
In this lesson we interpreted function notation to match features with functions. We learned common phrases that can be used to “translate” function notation depending on the context. For instance,
Find the indicated function values.
Determine whether the following statements represent a discrete or continuous relationship. Be ready to explain why.
The amount of water in a pool that is being emptied.
The number of runs scored at a baseball game.