Mr. Backer introduces graphing skills, focusing on recognizing reasonable graphs, identifying key characteristics like domain and range, and understanding graphing technology limitations. He provides examples using the square root function y = sqrt(4 - x^2) and the power function y = x^(2/3), explaining how to determine domain and range for each.

What is one of the key skills needed to interpret graphs effectively?

• Understanding the color scheme of the graph

• Recognizing if a graph is reasonable

• Knowing the history of graphing

• Memorizing all graph equations

Tags

CCSS.HSF.IF.B.4

What does the term 'parent functions' refer to?

• Functions that are always linear

• Functions that are only used in calculus

• Functions that are not graphable

• The original functions from which other functions are derived

Which of the following is an important characteristic of a graph?

• The domain and range

• The type of paper used for graphing

• The color of the graph

• The speed of graphing

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What should you do if your graphing technology shows something that seems incorrect?

• Assume it is correct

• Ignore it

• Verify the graph manually

• Change the graphing tool

Tags

CCSS.HSF-IF.C.7E

What is the domain of the function y = sqrt(4 - x^2)?

• (-∞, ∞)

• [-2, 2]

• (-2, 2)

• [0, 4]

What is the range of the function y = sqrt(4 - x^2)?

• [-2, 2]

• (-∞, ∞)

• [0, 2]

• [0, 4]

What does the range of a function refer to?

• The x-values of the graph

• The y-values of the graph

• The intercepts of the graph

• The slope of the graph

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What should you do if the graph does not extend to the x-axis?

• Ignore the graph

• Check the function to verify the end values

• Assume the graph is incorrect

• Change the graphing tool

Tags

CCSS.HSF-IF.C.7E

What is the domain of the function y = x^(2/3)?

• [-1, 1]

• (-∞, 0]

• [0, ∞)

• (-∞, ∞)

What is the range of the function y = x^(2/3)?

• (-∞, ∞)

• [0, ∞)

• [-1, 1]

• [0, 2]