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What are the zeros of linear functions?

Updated: 4/28/2022
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11y ago

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The zero of a linear function in algebra is the value of the independent variable (x) when the value of the dependent variable (y) is zero. Linear functions that are horizontal do not have a zero because they never cross the x-axis. Algebraically, these functions have the form y = c, where c is a constant. All other linear functions have one zero.

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Q: What are the zeros of linear functions?
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Related questions

Are linear equations and functions different?

All linear equations are functions but not all functions are linear equations.


How are linear equations and functions alike?

They are not. A vertical line is not a function so all linear equations are not functions. And all functions are not linear equations.


What are the zeros of a linear function?

The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.


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Linear equations are always functions.


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Linear equations are a small minority of functions.


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What are the zeros of functions and what do they represent?

The zeros of functions are the solutions of the functions when finding where a parabola intercepts the x-axis, hence the other names: roots and x-intercepts.


How are linear equations and functions alike and how are they different?

A linear equation is a special type of function. The majority of functions are not linear.


When can you use linear quadratic functions?

There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.


What are zeros of the Function?

The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.


What are the zeros of a function?

The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.


Examples of zeros of a linear function?

The zero of a linear function in algebra is the value of the independent variable (x) when the value of the dependent variable (y) is zero. Linear functions that are horizontal do not have a zero because they never cross the x-axis. Algebraically, these functions have the form y = c, where c is a constant. All other linear functions have one zero.For example, if your equation is 3x + 11y = 6, you would substitute zero for y, the term 11y would drop out of the equation and the equation would become 3x = 6x = 2