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In analytic geometry a linear function means a first-degree polynomial function of one variable. These functions are called "linear" because their graphs in the Cartesian coordinate plane are a straight lines.

A sine wave does not have a graph that is a straight line.

A linear equation would imply meeting of superposition, that is af(x) + bf(y) = f(ax+by). We know from basic trig that sin(a+b) = sin(a)cos(b) + cos(a)sin(b). We can derive this out and find that sin(a+b) is not the same as sin(a) + sin(b).

This therefore would exclude sin from being linear either in the geometric or systems sense.

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Are linear equations and functions the same?

No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.


What are the intervals of sine function?

The sine function repeats every 2pi radians (360 degrees).


What is the end behavior of a linear function?

Assuming the domain is unbounded, the linear function continues to be a linear function to its end.


Is a linear equation the same as a function?

No a linear equation are not the same as a linear function. The linear function is written as Ax+By=C. The linear equation is f{x}=m+b.


A linear function does not have a y-intercept?

it is impossible for a linear function to not have a y-intercept

Related questions

Are linear equations and functions the same?

No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.No. A linear equation is just one type of function.If you graph a linear equation, you get a straight line.A "function" on the other hand can take on many different forms: a straight line, a wave line (the sine function), a parabola, etc.


What are the Differentiate the sine wave and cosine wave?

The differential of the sine function is the cosine function while the differential of the cosine function is the negative of the sine function.


How is sine affiliated with waves?

Waves are periodic function, as is the sine function.


Is sine a trig function?

Yes, sine is a trig function, it is opposite over hypotenuse.


What is the graph of a sine function called?

A sine graph!


Is the sine functions an odd function?

Yes. Along with the tangent function, sine is an odd function. Cosine, however, is an even function.


Is a sine function a periodic function?

Yes, the sine function is a periodic function. It has a period of 2 pi radians or 360 degrees.


What are the intervals of sine function?

The sine function repeats every 2pi radians (360 degrees).


What is the sine for greater than?

The sign is >. Sine is a trigonometric function.


Is the Sine function an odd function?

Yes


What is the domain of the sine function?

The domain of the sine function is [-infinity, +infinity].The range is [-1, +1].The sine function is periodic. It repeats itself every 360 degrees or 2PI radians.


What is the relation between sine wave and frequency?

A sine wave is a periodic function and, by suitably adjusting the argument of the sine function, can be made to fit a wide functions with different frequencies.