What is the inverse of the function $$f(x) = \frac{1-2x}{1-x}$$ ?

The inverse is $$f^{-1}(x) = \frac{x-1}{x-2}$$ .

What is the interquartile range (IQR)?

The IQR is the difference between the third quartile (Q3) and the first quartile (Q1): IQR = Q3 - Q1.

How do you determine the first quartile (Q1) of a data set?

Q1 is the median of the lower half of the data set.

How do you determine the third quartile (Q3) of a data set?

Q3 is the median of the upper half of the data set.

What is the significance of the domain in a function?

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

What is a rational function?

A rational function is a function that can be expressed as the ratio of two polynomials.

What does it mean for two matrices to be added together?

Two matrices can be added if they have the same dimensions, and the addition is performed element-wise.

What is the formula for finding the inverse of a 2x2 matrix?

For a matrix $$A = \begin{pmatrix} a & b \\ c & d \end{pmatrix}$$ , the inverse is $$A^{-1} = \frac{1}{ad-bc} \begin{pmatrix} d & -b \\ -c & a \end{pmatrix}$$ , provided $$ad-bc \ne 0$$ .

What is the relationship between a function and its inverse?

A function and its inverse are reflections of each other across the line $$y = x$$ .

FINAL EXAM REVIEW NC_MATH 4 Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

What is the value of a if it is given as 13.35, 12.91, 13.05, or 12.83?

Back

The value of a is 13.35.

3.

FLASHCARD QUESTION

Front

How do you find A+B if A = 8, B = 10?

Back

A + B = 8 + 10 = 18.

4.

FLASHCARD QUESTION

Front

What are the median, first quartile, third quartile, and interquartile range of the data set: 32, 53, 72, 66, 47, 54, 49, 67, 71?

Back

Median: 54, First Quartile: 48, Third Quartile: 69, IQR: 21.

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define the term 'inverse function'.

Back

7.

FLASHCARD QUESTION

Front

What is the formula for finding the median of a data set?

Back

To find the median, arrange the data in ascending order and select the middle value.

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