What is the domain of the function $$f(x) = x^2$$ ?

The domain is $$(-\infty, \infty)$$ .

What is the domain of the function $$f(x) = \frac{1}{x}$$ ?

The domain is $$(-\infty, 0) \cup (0, \infty)$$ .

What is the range of the function $$f(x) = x^3$$ ?

The range is $$(-\infty, \infty)$$ .

What transformation occurs in the function $$y = 2x^2 - 3$$ ?

Vertical shift downwards by 3 units.

What is the domain of the function $$f(x) = \sqrt{x - 4}$$ ?

The domain is $$[4, \infty)$$ .

What is the range of the function $$f(x) = -x^2$$ ?

The range is $$(-\infty, 0]$$ .

What does a horizontal shift to the right by 3 units look like in a function?

The function $$f(x) = x^2$$ becomes $$f(x) = (x - 3)^2$$ .

What is the domain of the function $$f(x) = \log(x)$$ ?

The domain is $$(0, \infty)$$ .

Domain and Range of Parent Function Homework Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

Vertical shift upwards by 6 units.

4.

FLASHCARD QUESTION

Front

What axis represents the domain?

Back

The x-axis.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define 'domain' in the context of functions.

Back

The domain is the set of all possible input values (x-values) for a function.

7.

FLASHCARD QUESTION

Front

Define 'range' in the context of functions.

Back

The range is the set of all possible output values (y-values) for a function.

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