Piecewise Functions

Tavin and Derek were trying to graph a piecewise function together and came up with several possibilities. Which graph should they choose?

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Tags

CCSS.HSF-IF.C.7B

After approximately how many hours did Ari complete the first 22-miles of her bicycle trip?

• 1.47 hours

• 7.5 hours

• 2 hours

• 3 hours

Tags

CCSS.HSF.IF.B.4

Joseph and Molly are trying to plot pieces of a graph for their math homework. Joseph labels one of the pieces as "B" with the equation y = 1. If Molly wants to write the domain of that piece, what should she write?

• x > –1

• x < –1

• x < –1 or x > 1

• –1 < x < 1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Cali is modeling the cross-section of a shoreline using a piecewise function. If the piece labelled as "A" represents the seabed, what is the equation and domain of this piece?

• f(x) = x + 1, x ≤ –1

• f(x) = x + 2, x ≤ –1

• f(x) = x, x ≤ –1

• f(x) = x – 1, x ≤ –1

Tags

CCSS.HSF-IF.C.7B

Elijah and Mackense are planning to launch a rocket and the path of the rocket is represented by the function y = 2|x-3|+1. Can you help them find the vertex of this function?

• (2,3)

• (-3,1)

• (2,-3)

• (3,1)

Tags

CCSS.HSF-IF.C.7D

Will is helping Sarah understand the concept of transformation of equations. They are starting from the parent function y = |x|. Sarah is trying to understand the transformation of the equation y = |x+2|-5. How should Will describe the transformation?

• Left 2 up 5

• Right 2 up 5

• Left 2 down 5

• Right 2 down 5

Emily is trying to model the net profits of her lemonade stand using a piecewise function based on the number of cups sold. She came up with the following options. Which one corresponds to the graph she drew? (Take your time)

• f(x) = { x  if x < 4 cups;   -x+1  if x ≥ 4 cups

• f(x) = { x  if x ≤ 4 cups;  -x+1  if x > 4 cups

• f(x) = { -x+1  if x < 4 cups;  x  if x ≥ 4 cups

• f(x) = { -x+1  if x ≤ 4 cups;  x if x > 4 cups

Tags

CCSS.HSF-IF.C.7B

Josiah is trying to model a real-world situation using a function. He has four options to choose from. Which function is he likely to have graphed if the graph shows a shift to the left by 2 units and a downward shift by 4 units?

• f(x) = 2|x + 2| -4

• f(x) = 2|x - 4| + 2

• f(x) = |x + 2| - 4

• f(x) = -2|x - 4|

Kaden is planning a treasure hunt for Regan and has hidden the treasure at a location represented by the vertex of the function y = -4|x+2|+5. Can you help Regan find the treasure by determining the vertex of the function?

• (2,5)

• (-1,5)

• (-4,-2)

• (-2,5)

Tags

CCSS.HSF-IF.C.7D

Katelyn is trying to model a real-world situation using a graph. She came up with four equations. Which one of these equations correctly represents the graph she is trying to model?

Tags

CCSS.HSF-IF.C.7D