Convert the equation $$3x - 4y = 12$$ to slope-intercept form.

The slope-intercept form is $$y = -\frac{3}{4}x + 3$$ .

How do you find the slope from two points (x1, y1) and (x2, y2)?

The slope is calculated as $$m = \frac{y2 - y1}{x2 - x1}$$ .

What is the standard form of a linear equation?

The standard form is $$Ax + By = C$$ , where A, B, and C are integers.

What is an absolute value function?

An absolute value function is a function of the form $$f(x) = |x|$$ , which outputs the non-negative value of x.

What does the graph of an absolute value function look like?

The graph of an absolute value function is a V-shape, opening upwards.

How do you solve an absolute value equation like $$|x - 3| = 5$$ ?

To solve, set up two equations: $$x - 3 = 5$$ and $$x - 3 = -5$$ .

What is the vertex of the absolute value function $$f(x) = |x - 2| + 3$$ ?

The vertex is at the point (2, 3).

What is the effect of changing the sign in front of an absolute value function, like $$f(x) = -|x|$$ ?

Changing the sign reflects the graph across the x-axis.

What is the domain of a linear function?

The domain of a linear function is all real numbers, represented as $$(-\infty, \infty)$$ .

Linear and Absolute Value Functions Flashcard Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

The y-intercept is -8.

2.

FLASHCARD QUESTION

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values paired with it.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

The slope is -3.

5.

FLASHCARD QUESTION

Front

Back

The transformation is a shift up.

6.

FLASHCARD QUESTION

Front

Define a linear function.

Back

7.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

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