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Identify Linear and Nonlinear Functions From Equations and Graphs

Quiz

Determine whether each equation or graph shows a linear or nonlinear function.
Then, select the correct answer.

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Argentina

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Identify Linear and Nonlinear Functions From Equations and GraphsOnline version

Determine whether each equation or graph shows a linear or nonlinear function. Then, select the correct answer.

by Peter Machado
1

Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

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Linear or nonlinear?

Feedback

This is the graph for a quadratic function, in which you can find x to the power of 2 in its equation (but never beyond that).

This is the graph for an exponential function, in which you can find a given number to the power of x instead of x to the power of a given number.

This is the graph for an absolute value function, in which, due to the very nature of a modular number, the line ends up mirroring itself, forming a V-shape.

This is the graph for a homographic function, in which the whole equation is a fraction and x is found in the denominator. Yes, the simple fact we have a variable in the denominator of a "rational" function generates a graph like that.

This is the graph for a trigonometric function. Just know it exists. Explaining it would take a loooooooong time.

This is the graph for a cubic function, in which you can find x to the power of 3 in its equation (but never beyond that).

This is the graph for a constant linear function, in which y equals a given number (e.g. y = –3, like in the picture).

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