Unit 1 Test Review - Absolute Value Functions

Unit 1 Test Review - Absolute Value Functions

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

Created by

Wayground Content

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the definition of an absolute value function?

Back

An absolute value function is a function that outputs the distance of a number from zero on the number line, regardless of direction. It is defined as f(x) = |x|.

2.

FLASHCARD QUESTION

Front

What is the general form of an absolute value function?

Back

The general form is f(x) = a|bx - h| + k, where (h, k) is the vertex, 'a' determines the direction and steepness, and 'b' affects the width of the graph.

3.

FLASHCARD QUESTION

Front

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

Back

The graph of an absolute value function is a V-shape, opening upwards if 'a' is positive and downwards if 'a' is negative.

4.

FLASHCARD QUESTION

Front

What is the domain of an absolute value function?

Back

The domain of an absolute value function is all real numbers, expressed as (-∞, ∞).

5.

FLASHCARD QUESTION

Front

What is the range of an absolute value function?

Back

The range of an absolute value function is all real numbers greater than or equal to the minimum value, expressed as [k, ∞) if the vertex is at (h, k).

6.

FLASHCARD QUESTION

Front

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

Back

To solve |x - 5| = 3, set up two equations: x - 5 = 3 and x - 5 = -3. Solve to find x = 8 and x = 2.

7.

FLASHCARD QUESTION

Front

What does it mean if an absolute value equation has no solution?

Back

An absolute value equation has no solution if the expression inside the absolute value cannot equal a negative number, such as |x| = -3.

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