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The graph of a function must be linear if it has what characteristic?

A.It passes through the origin
B.It crosses the x-axis more than once.
C.It crosses the y-axis exactly once
D.It has a constant slope.

User KateYoak
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2 Answers

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Answer:

D.) It has a constant slope.

Explanation:

It's right on edge.

User DoOrDoNot
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Answer:

D. It has a constant slope.

Explanation:

We have to find the characteristic which states that the graph of a function must be linear.

The four characteristics given in the question are;

A. It passes through the origin

B. It crosses the x-axis more than once.

C. It crosses the y-axis exactly once

D. It has a constant slope.

If we consider the first characteristic that it passes through the origin , then the graph of a function will not be linear because it will contain two variables.

If we consider the second characteristic that it crosses the x-axis more than once , then the graph of a function will not be linear because it will then be a parabola or a curve function and will not have a linear function.

If we consider the third characteristic that it crosses the y-axis exactly once , then the graph of a function will not be linear because it may cross the x-axis twice.

If we consider the fourth characteristic that it has a constant slope , then the graph of a function will be linear because it will not change it's form and will have a constant slope linear function.

User Nabil Kadimi
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