175k views
0 votes
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
by
8.4k points

2 Answers

0 votes

Answer:

D.) It has a constant slope.

Explanation:

It's right on edge.

User DoOrDoNot
by
8.1k points
4 votes

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
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories