How do you find the quotient of two functions, given $$f(x) = 5x - 1$$ and $$g(x) = x - 7$$ ?

The quotient is given by $$\left(\frac{g}{f}\right)(x) = \frac{x - 7}{5x - 1}$$ .

What is the product of the functions $$f(x) = 4x + 8$$ and $$g(x) = x + 3$$ ?

The product is $$f(x) \cdot g(x) = 4x^2 + 20x + 24$$ .

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

The domain is all non-negative real numbers, i.e., $$x \geq 0$$ .

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

The range is all non-negative real numbers, i.e., $$y \geq 0$$ .

What does the graph of $$y = \sqrt{x - 5} - 1$$ look like?

It is a transformation of the basic square root function, shifted right 5 units and down 1 unit.

How do you simplify the expression $$\frac{g(x)}{f(x)}$$ ?

Substitute the functions: $$\frac{x - 7}{5x - 1}$$ .

What is the formula for multiplying two binomials?

The formula is $$(a + b)(c + d) = ac + ad + bc + bd$$ .

What is the significance of the vertex in a radical function?

The vertex represents the minimum point of the function, where the function changes direction.

How do you determine the x-intercepts of the function $$y = \sqrt{x}$$ ?

Set $$y = 0$$ and solve for $$x$$ , which gives $$x = 0$$ .

Unit 5 Review - Rational Exponents and Radical Functions PART 2 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

This function shifts the square root function right by 5 units and down by 1 unit.

Tags

CCSS.HSF.BF.B.3

2.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.A.1B

3.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.REI.A.2

4.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSF-BF.A.1B

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.REI.A.2

6.

FLASHCARD QUESTION

Front

What is a rational exponent?

Back

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CCSS.HSN.RN.A.2

7.

FLASHCARD QUESTION

Front

How do you convert a radical expression to a rational exponent?

Back

Tags

CCSS.HSN.RN.A.2

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