What is the solution to the equation $$|x + 2| = 3$$ ?

The solutions are $$x = 1$$ and $$x = -5$$ .

What is the range of a function that can take any real number?

The range is represented as $$(-\text{∞}, \text{∞})$$ .

What is the range of a function that outputs values from -4 to positive infinity?

The range is represented as $$[-4, \text{∞})$$ .

What is the correct approach to solve a quadratic equation?

Set the equation to 0, then try factoring.

What is the solution to the equation $$x^2 - 5x + 6 = 0$$ ?

The solutions are $$x = 2$$ and $$x = 3$$ .

What does the notation $$|x|$$ signify in mathematics?

It signifies the absolute value of x, which is the distance of x from 0 on the number line.

What is the difference between an inequality and an equation?

An inequality shows a range of values that satisfy a condition, while an equation shows a specific relationship that must be true.

What is the significance of the absolute value in equations?

Absolute value indicates the distance from zero, allowing for both positive and negative solutions.

M3 Fall Final Review Flashcards

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1.

FLASHCARD QUESTION

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It represents the set of values for x such that the distance of x + 2 from 0 is less than 3.

2.

FLASHCARD QUESTION

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3.

FLASHCARD QUESTION

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It represents the values of x for which the distance of x + 2 from 0 is exactly 3.

4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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It represents the set of values for x such that the distance of x + 2 from 0 is greater than 3.

6.

FLASHCARD QUESTION

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Back

7.

FLASHCARD QUESTION

Front

What is the range of the function if the output is limited to values between -4 and 4?

Back

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