What does the inequality $$y \le \frac{2}{5}x - 3$$ represent graphically?

It represents a region below the line $$y = \frac{2}{5}x - 3$$ , including the line itself.

What is the slope of a line perpendicular to the line represented by the equation $$4x - 5y = 12$$ ?

The slope of the given line is $$\frac{4}{5}$$ , so the slope of a line perpendicular to it is $$-\frac{5}{4}$$ .

What is the simplified form of $$\sqrt{160}$$ ?

The simplified form is $$4 \sqrt{10}$$ .

What does the term 'range' refer to in mathematics?

The range refers to the set of all possible output values of a function.

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis, represented by the value of $$b$$ in the equation $$y = mx + b$$ .

How do you determine if two lines are perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

What is the formula for the slope-intercept form of a linear equation?

The slope-intercept form is $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

What does it mean for a function to be increasing?

A function is increasing if, as the input values increase, the output values also increase.

How can you identify the x-intercept of a linear equation?

Set $$y = 0$$ in the equation and solve for $$x$$ .

What is the relationship between the slopes of parallel lines?

Parallel lines have the same slope.

What is the process for simplifying square roots?

Factor the number under the square root into its prime factors and simplify by taking out pairs.

2024 Fall Final Exam Review II. Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

2.

FLASHCARD QUESTION

Front

How do you determine the range of a function from its graph?

Back

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

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

How do you write a linear function based on a scenario?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

What is the definition of a linear function?

Back

7.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points?

Back

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