3rd Mid Six Weeks Exam: Inverses and Operations of Functions

3rd Mid Six Weeks Exam: Inverses and Operations of Functions

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

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15 questions

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1.

FLASHCARD QUESTION

Front

Is the inverse of a function also a function?

Back

Yes, the inverse of a function is also a function if it passes the horizontal line test.

2.

FLASHCARD QUESTION

Front

What is the result of (f + g)(x) if f(x) = 5x^2 and g(x) = 3x?

Back

(f + g)(x) = 5x^2 + 3x.

3.

FLASHCARD QUESTION

Front

How can you determine if two functions are inverses of each other?

Back

Two functions are inverses if (f(g(x)) = x) and (g(f(x)) = x) for all x in the domain.

4.

FLASHCARD QUESTION

Front

Evaluate (g∘f)(3) if f(x) = -2x + 2 and g(x) = 2x^2 + 9.

Back

(g∘f)(3) = 41.

5.

FLASHCARD QUESTION

Front

What is the result of (f - g)(x) if f(x) = 5x^2 and g(x) = 3x?

Back

(f - g)(x) = 5x^2 - 3x.

6.

FLASHCARD QUESTION

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it never assigns the same value to two different domain elements.

7.

FLASHCARD QUESTION

Front

What is the horizontal line test?

Back

The horizontal line test determines if a function is one-to-one by checking if any horizontal line intersects the graph more than once.

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