Pre-AP Algebra 2 Unit 3 Exam Flashcards

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the definition of Domain?

  • All possible x-values (correct)
  • A curved line
  • A relation where every x corresponds to exactly one y
  • All possible y-values

What is the definition of Range?

  • A relation where every x corresponds to exactly one y
  • A curved line
  • All possible x-values
  • All possible y-values (correct)

What is the domain and range of any line (except vertical lines)?

Domain - all real numbers; Range - all real numbers

What does the graph of a radical function look like?

<p>A curved line</p> Signup and view all the answers

What is a function?

<p>A relation where every x in the domain corresponds to exactly one y in the range</p> Signup and view all the answers

What is the input in a function?

<p>Domain</p> Signup and view all the answers

What is the output in a function?

<p>Range</p> Signup and view all the answers

{(3,1) (2,8) (-3,8) (5,6)} is a function?

<p>True (A)</p> Signup and view all the answers

{(3,1) (2,8) (-3,8) (5,6) (2,10)} is a function?

<p>False (B)</p> Signup and view all the answers

What is the domain and range of x=3?

<p>Not a function; Domain = 3; Range = all real numbers</p> Signup and view all the answers

What is the domain and range of y=-2?

<p>Function; Domain = all real numbers; Range = -2</p> Signup and view all the answers

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

<p>A 'v'</p> Signup and view all the answers

What is the slope of a vertical line and its y-intercept?

<p>No slope (run=0); no y-intercept</p> Signup and view all the answers

What is the slope of a horizontal line and its y-intercept?

<p>Slope = 0 (rise=0), y-intercept is wherever it crosses the y-axis</p> Signup and view all the answers

In application problems, what does 'constant growth' equate to?

<p>Slope</p> Signup and view all the answers

In application problems, what is x usually and what is y usually?

<p>X is usually years/time; Y is the outcome</p> Signup and view all the answers

Flashcards are hidden until you start studying

Study Notes

Key Concepts in Pre-AP Algebra 2

  • Domain refers to all possible x-values in a function.
  • Range denotes all possible y-values in a function.
  • For any non-vertical line, the domain is all real numbers, and the range is also all real numbers.
  • The graph of a radical function features a curved line.
  • A function is a relation where each x in the domain has exactly one corresponding y in the range; hence, a unique output for each input.
  • Input corresponds to the domain, whereas output refers to the range.

Assessing Functions

  • The set of points {(3,1), (2,8), (-3,8), (5,6)} is a function because no x-value is repeated with different y-values.
  • The set {(3,1), (2,8), (-3,8), (5,6), (2,10)} is not a function because the x-value of 2 maps to both 8 and 10, violating the definition of a function.
  • The equation x=3 is not a function; its domain is solely 3, and its range includes all real numbers.
  • The equation y=-2 is a function with an unrestricted domain of all real numbers and a fixed range of -2.

Graphing Functions

  • The graph of an absolute value function forms a "V" shape.
  • A vertical line has no slope (undefined) and no y-intercept, as it does not cross the y-axis at a single point.
  • A horizontal line has a slope of 0 (no rise, only run) and its y-intercept is determined by the point where it intersects the y-axis.

Application of Concepts

  • In practical problems, constant growth is represented by the slope of a line.
  • Typically, in application scenarios, x represents time (years), while y indicates the outcome being measured.

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

More Like This

Use Quizgecko on...
Browser
Open
Browser
Browser