Describe a real-world situation where the function that models the situation is neither discrete nor continuous.

A studio charges musicians to use the space and recording equipment by the hour, rounding a fraction of an hour up. So, for up to 1 hour, the studio charges $100, but for up to 2 hours, the studio charges $200, and so on.

A student records the number of hours she spends volunteering each week. So, the first week she volunteers for 4 hours, the second week she volunteers for 5.5 hours, and so on.

A landscape company keeps track of the number of gallons of fertilizer they have left after working in each yard. So, the company has 15.25 gallons of fertilizer left after working in the first yard, 13.5 gallons of fertilizer left after working in the second yard, and so on.

A runner tracks the total number of miles he has run. So, after 1 day he ran 4 miles, after 2 days he ran a total of 8.25 miles, and so on.

Linearity and Continuity of Graphs

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

8.F.A.3, 8.F.A.1, 8.EE.B.5

Standards-aligned

Lakesha Frost

Used 368+ times

FREE Resource

16 questions

Show all answers

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$y-\frac{1}{x}=11$

Determine whether the function is linear or nonlinear.

linear

nonlinear

Tags

CCSS.8.F.A.3

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

$y\ =\ 2x\ +\ 5$

Determine whether the function is linear or nonlinear.

linear

nonlinear

Tags

CCSS.8.F.A.3

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Linearity and Continuity of Graphs

16 questions

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

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

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

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

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.

$y-\frac{1}{x}=11$

Determine whether the function is linear or nonlinear.

$y\ =\ 2x\ +\ 5$

Determine whether the function is linear or nonlinear.

$2y+\frac{x}{-3}=-6$

Determine whether the function is linear or nonlinear.

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

Determine whether the function is linear or nonlinear.

Determine whether the function is linear or nonlinear.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Linearity and Continuity of Graphs

16 questions

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

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

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

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

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.

y−1x=11y-\frac{1}{x}=11y−x1​=11 Determine whether the function is linear or nonlinear.

y = 2x + 5y\ =\ 2x\ +\ 5y = 2x + 5 Determine whether the function is linear or nonlinear.

2y+x−3=−62y+\frac{x}{-3}=-62y+−3x​=−6 Determine whether the function is linear or nonlinear.

−9x+(4x)2+y=−4+7x2-9x+\left(\sqrt{4}x\right)^2+y=-4+7x^2−9x+(4​x)2+y=−4+7x2 Determine whether the function is linear or nonlinear.

Determine whether the function is linear or nonlinear.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

$y-\frac{1}{x}=11$

Determine whether the function is linear or nonlinear.

$y\ =\ 2x\ +\ 5$

Determine whether the function is linear or nonlinear.

$2y+\frac{x}{-3}=-6$

Determine whether the function is linear or nonlinear.

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

Determine whether the function is linear or nonlinear.