Graphing Piecewise Functions with Domain Restrictions in Desmos

What is the main objective of the tutorial?

• To create a star shape using Desmos

• To create a heart shape using functions and domain restrictions in Desmos

• To understand the properties of circles

• To learn basic arithmetic operations

Tags

CCSS.HSF-IF.C.7B

Which type of function is used to create the upper curves of the heart?

• Logarithmic function

• Quadratic function

• Exponential function

• Linear function

Tags

CCSS.HSF-IF.C.7A

How is the quadratic function transformed to create the left upper curve?

• Shifted up by 4 and to the right by 2

• Shifted down by 4 and to the right by 2

• Shifted up by 4 and to the left by 2

• Shifted down by 4 and to the left by 2

What is the purpose of using domain restrictions for the upper curves?

• To add labels to the curves

• To change the color of the curves

• To make the curves thicker

• To limit the x-values and shape the heart

What domain restriction is applied to the left upper curve?

• 0 < x < 4

• -4 < x < 0

• -4 < x < 4

• 0 < x < 2

Tags

CCSS.HSF-BF.B.4D

Which function is used to create the bottom left line of the heart?

• y = -x - 4

• y = x - 4

• y = x + 4

• y = -x + 4

Tags

CCSS.HSF-IF.C.7B

What is the slope of the bottom right line of the heart?

• Negative 1

• Undefined

• Positive 1

• Zero

Tags

CCSS.8.EE.B.5

What range restriction is applied to the bottom left line?

• -4 < y < 4

• 0 < y < 4

• -4 < y < 0

• -2 < y < 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

How are the x-values restricted for the bottom right line?

• x > -4 and x < 0

• x > 0 and x < 4

• x > 0 and x < 2

• x > -2 and x < 2

Tags

CCSS.HSF-IF.C.7B

What is the final shape created in the tutorial?

• A square

• A heart

• A circle

• A star