What is the domain and range of the function $$y = \sqrt{x}$$ ?

Domain: $$x \geq 0$$ , Range: $$y \geq 0$$ .

How do you rationalize the denominator of $$\sqrt[]{6} + \sqrt[]{10}$$ ?

Rationalized form: $$\sqrt[]{6} - \sqrt[]{10}$$ .

What is the rationalized form of $$\frac{\sqrt[3]{4}}{\sqrt[3]{5x}}$$ ?

Rationalized form: $$\frac{\sqrt[3]{100x^2}}{5x}$$ .

What does it mean to rationalize a denominator?

To eliminate any radicals in the denominator of a fraction.

What is the effect of a negative coefficient in front of a function?

It reflects the graph of the function over the x-axis.

What is the significance of shading in graphing inequalities?

Shading indicates the region of the graph that satisfies the inequality.

What is the square root function?

A function of the form $$y = \sqrt{x}$$ , which returns the non-negative square root of x.

What is the cube root function?

A function of the form $$y = \sqrt[3]{x}$$ , which returns the cube root of x.

How do you determine the domain of $$y = \sqrt{x}$$ ?

Set the expression inside the square root (x) greater than or equal to zero.

What is the graphical representation of $$y > \sqrt{x - 3}$$ ?

It represents all points above the curve of $$y = \sqrt{x - 3}$$ .

What is the process of simplifying radicals?

To express a radical in its simplest form by factoring out perfect squares or cubes.

12.1 & 13.1 Activity 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

4.

FLASHCARD QUESTION

Front

If b is negative, what happens to the function over the y-axis?

Back

The function will reflect over the y-axis.

5.

FLASHCARD QUESTION

Front

Back

Above.

6.

FLASHCARD QUESTION

Front

Define the domain of a function.

Back

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

7.

FLASHCARD QUESTION

Front

Define the range of a function.

Back

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

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