Linearity and Continuity of Graphs

Determine whether the function is discrete, continuous, or neither. Explain.

• Continuous; because the function is made up entirely of individual points, it is continuous.

• Continuous; because the individual points could be connected with a single line, the function is continuous.

• Discrete; because the function is made up entirely of individual points, it is discrete.

• Discrete; because the function is not graphed with a single line or curve, it is discrete.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Determine whether the function is discrete, continuous, or neither. Explain.

• Continuous; because the function is graphed with a single curve, it is continuous.

• Continuous; because the domain of the function is all real numbers, it is continuous.

• Neither; because the function is graphed with a single curve but the range does not include all real numbers, it is neither continuous nor discrete.

• Neither; because the function is not graphed with a single curve, it is neither continuous nor discrete.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Determine whether the function is discrete, continuous, or neither. Explain.

• Discrete; because the function is not graphed with a single line or curve, it is discrete.

• Discrete; because the domain of the function is not all real numbers, it is discrete.

• Neither; because the function is not graphed with a single line or curve, it is neither continuous nor discrete.

• Neither; because the function has continuous sections but is not a single line or curve, it is neither continuous nor discrete.

Tags

CCSS.HSF-IF.C.7B

Determine whether the function is discrete, continuous, or neither. Explain.

• Continuous; because the function is graphed with a single curve, it is continuous.

• Continuous; because the domain of the function is all real numbers, it is continuous.

• Neither; because the function is graphed with two separate rays, it is neither continuous nor discrete.

• Neither; because the range of the function is not all real numbers, it is neither continuous nor discrete.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

BAKING Kalynda keeps track of the number of cups of flour she has after baking batches of cookies and then graphs the function that models the situation. Use the graph to determine if the function that models this situation is discrete, continuous, or neither.

• continuous

• discrete

• neither

Tags

CCSS.8.EE.B.5

 $y-\frac{1}{x}=11$  

Determine whether the function is linear or nonlinear.

• linear

• nonlinear

Tags

CCSS.8.F.A.3

 $y\ =\ 2x\ +\ 5$  

Determine whether the function is linear or nonlinear.

• linear

• nonlinear

Tags

CCSS.8.F.A.3

 $2y+\frac{x}{-3}=-6$  

Determine whether the function is linear or nonlinear.

• linear

• nonlinear

Tags

CCSS.8.F.A.3

 $-9x+\left(\sqrt{4}x\right)^2+y=-4+7x^2$  

Determine whether the function is linear or nonlinear.

• linear

• nonlinear

Tags

CCSS.8.F.A.3

Determine whether the function is linear or nonlinear.

• linear

• nonlinear

Tags

CCSS.8.F.A.3