200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 200 300 400 500 100 Vocabulary Analyze the Graph Relations vs. Functions.

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Presentation transcript:

Vocabulary Analyze the Graph Relations vs. Functions Transformations Piecewise Functions

Vocabulary 100 What is the Range of a function? Main Get Answer

Main Vocabulary 100 What is all the values that come out of a function; o Outputs o Y-Values

Main Get Answer A set of all the x-values. Vocabulary 200

Main Vocabulary 200 What is the Domain?

Vocabulary 300 What method can be used to determine if an equation is a function? Main Get Answer

Vocabulary 300 What is the Vertical Line Test? If any vertical line intersects the graph at more than one point, then the graph is NOT the graph of a function. Main

Vocabulary 400 A correspondence between two variables. Main Get Answer

Vocabulary 400 What is a Relation? Main

Vocabulary 500 Main Get Answer A graph, table or mapping that shows no repeated x-values.

Vocabulary 500 Main What is a Function?

Analyze the Graph 100 Main Get Answer

Analyze the Graph 100 o Function : yes o Domain: (-∞, +∞) o Range: (-∞, +∞) Main

Analyze the Graph 200 What is the Domain and Range? Main Get Answer

Analyze the Graph 200 o Domain : (-7, 5] o Range: (-9, 7] Main

Analyze the Graph 300 Main Get Answer Find the y-intercept(s) (List the y-value(s))

Analyze the Graph 300 Main Where y = -8?

Analyze the Graph 400 Main Get Answer Where is the graph increasing? Where is the graph decreasing?

Analyze the Graph 400 Main Where the graph is increasing on (-7, -4) and (1, 5]? Where the graph is decreasing on (-4, 1)?

Analyze the Graph 500 Main Get Answer Is Advanced Functions and Modeling with Ms. Harris your favorite math class or nah? (Think wisely) a)YES!b)NO!

Analyze the Graph 500 Main Easy choice! Of course, no other subject or teacher was even a contender! Is Advanced Functions and Modeling with Ms. Harris your favorite math class or nah? (Think wisely) a)YES!b)NO!

Relations vs Functions 100 Main Get Answer Suppose f(x) = x + 2. What is f(x+5)?

Relations vs Functions 100 Main Where f(x+5) = (x + 5) + 2 = x + 7?

Relations vs Functions 200 Main Get Answer Is the diagram above a Function? Explain your reasoning.

Relations vs Functions 200 Main The diagram is NOT a function because it does not pass the Vertical Line Test.

Relations vs Functions 300 Main Get Answer

Relations vs Functions 300 What is answer choice A? Main

Relations vs Functions 400 Main Get Answer

Relations vs Functions 400 Main

Relations vs Functions 500 Main Get Answer Describe the graph of the relation y = 6. Is the relation a function? Explain your answer.

Relations vs Functions 500 Main The graph of y = 6 is a horizontal line that crosses the y-axis at (0, 6). The relation is a function because it passes the vertical-line test. y=6

Transformations 100 Main Get Answer What is the parent function of h(x) = -|x-2|?

Transformations 100 Main What is the absolute-value function; h(x) = |x|?

Transformations 200 Main Get Answer What is Ms. Harris intern (last) name? *Bonus points if you can spell it!*

Transformations 200 Main Ms. Yelverton

Transformations 300 Main Get Answer

Transformations 300 Main

Transformations 400 MainGet Answer

Transformations 400 Main What is answer choice B?

Transformations 500 MainGet Answer Match the Names and Equations to the Graphs. Names: A) Absolute Value B) Cubic C) Linear D) Quadratic E)Radical Equations: F) y = x G) y = x 2 H) y = x 3 I) y = |x| J)

Transformations 500 Main Absolute Value - I) y = |x| - Graph 2 Cubic - H) y = x 3 – Graph 5 Linear - F) y = x – Graph 3 Quadratic - G) y = x 2 – Graph 4 Radical - J)- Graph 1

Piecewise Functions 100 Find f(2) MainGet Answer

Piecewise Functions 100 Main What is 2?

Piecewise Functions 200 What is the Domain of… Main Get Answer

Piecewise Functions 200 Main What is (-∞, 6]?

Piecewise Functions 300 Main Get Answer

Piecewise Functions 300 f(x) > 0 above the green line implying; [-6, -3), [-2, 2), and [2, 4) Main

Piecewise Functions 400 Main Get Answer o Graph the piecewise function. o Name the Domain and Range.

Piecewise Functions 400 Main Domain: (-∞, -1), [1, 2], and (2, +∞) Range: y ≤ 2

Piecewise Functions 500 Main Get Answer

Piecewise Functions 500 Main