Evaluating Composite Functions Concepts

Evaluating Composite Functions Concepts

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
HSF-BF.A.1C, HSF.IF.A.2

Standards-aligned

Created by

Mia Campbell

Used 1+ times

FREE Resource

Standards-aligned

CCSS.HSF-BF.A.1C
,
CCSS.HSF.IF.A.2
This lesson introduces the concept of composition of functions, a new topic for students. It begins with evaluating single functions, using G of 2 as an example. The lesson then explains composite functions, where one function is inside another, and demonstrates two methods for evaluating them: evaluating each function step-by-step or finding the composite function first. The lesson includes examples of both methods, emphasizing the importance of understanding both approaches. Finally, it provides practice with different function combinations, such as F of J, to reinforce the concepts.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main focus of lesson three in the unit?

Graphing functions

Composition of functions

Solving equations

Inverse of functions

Tags

CCSS.HSF.IF.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you evaluate a function like G of 2?

By dividing the function by 2

By substituting 2 for X in the function

By multiplying the function by 2

By adding 2 to the function

Tags

CCSS.HSF-BF.A.1C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in evaluating a composite function?

Evaluate the outer function first

Evaluate the inner function first

Add the two functions together

Subtract the inner function from the outer function

Tags

CCSS.HSF-BF.A.1C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of evaluating H of G of 2 using the step-by-step method?

0

-1

1

2

Tags

CCSS.HSF-BF.A.1C

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which method involves finding the composite function first before evaluating?

Step-by-step evaluation

Inverse function evaluation

Direct substitution

Composite function evaluation

Tags

CCSS.HSF-BF.A.1C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of simplifying the composite function H of G of X?

x - 2

2x - 5

2x - 7

2x - 3

Tags

CCSS.HSF-BF.A.1C

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of leaving a blank in the outer function during composition?

To add a constant

To insert the inner function

To simplify the function

To evaluate the function

Tags

CCSS.HSF-BF.A.1C

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