Algebra 2 6-6 Guided Practice: Function Operations

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Solve It! You want to buy a sofa that was marked down by $50 before the clearance discount was applied.

The furniture store may add the 5% sales tax before applying the additional discount, or it may add the sales tax after applying the additional discount. Which way is better for you, the customer?

Take Note: Take a moment to record the function operations in your notes.

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Take Note: Use the properties of function operations to match equivalent expressions.

Draggable item		Corresponding Item
(\frac{h}{g})(x)		\frac{h(x)}{g(x)}
(h\cdot g)(x)		(h-g)(x)
f(x)+g(x)		h(x)\cdot g(x)
h(x)-g(x)		(f+g)(x)

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Problem 1 Got It?

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Problem 2 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: What is a composite function ?

You may use the canvas to help illustrate your written response.

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Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).
Match equivalent items below.

Draggable item		Corresponding Item
Domain of g(f(x))		x
g(f(x))		Range of f(x)
Domain of f(x)		(g\circ f)(x)

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Problem 3 Got It?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

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Take Note: Recall that
(g\circ f)(x)=g(f(x)).
Regardless of how this composition of functions is written, which function is evaluated first?

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Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 15% discount and then the 20% discount.

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Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 20% discount and then the 15% discount.

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Problem 4 Got It? Reasoning: In the scenario above, which order of discounts results in a lower cost to the employee?

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Video Check: Select all that apply with regards to the video embedded directly above this item.

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Use the properties of function operations to match equivalent expressions.

Problem 1 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Problem 2 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: What is a composite function ? You may use the canvas to help illustrate your written response.

Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).Match equivalent items below.

Problem 3 Got It?

Video Check: Select all that apply with regards to the video embedded directly above this item.

Take Note: Recall that(g\circ f)(x)=g(f(x)).Regardless of how this composition of functions is written, which function is evaluated first?

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 15% discount and then the 20% discount.

Problem 4 Got It? A store is offering a 15% discount on all items. Also, employees get a 20% discount (20% off original price(s)). Write a composite function to model taking the 20% discount and then the 15% discount.

Problem 4 Got It? Reasoning: In the scenario above, which order of discounts results in a lower cost to the employee?

🧠 Retrieval Practice:Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?

Take Note: What is a composite function ?

You may use the canvas to help illustrate your written response.

Take Note: Consider functions f(x) and g(x) and the composite function g(f(x)).
Match equivalent items below.

Take Note: Recall that
(g\circ f)(x)=g(f(x)).
Regardless of how this composition of functions is written, which function is evaluated first?

🧠 Retrieval Practice:
Summarize the mathematical content of this lesson. What topics, ideas, and vocabulary were introduced?