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A linear function grows ( or shrinks) at a constant rate called its slope.

An exponential function grows ( or shrinks) at a rate which increases(or decreases)

over time. From a practical standpoint linear growth (or shrinkage) is simple and predictable. Exponential growth is essentially out of control and unsustainable

and exponential decay soon becomes negligible.
if y=az + b then y is a linear function of z. If y=aebz then y is an exponential function of z. If y= acbz then y is still an exponential function of z because you can substitute c=ek (so that k=logec) to give you y=aekbz .

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Q: What is the difference between a linear and exponential function?
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What is the difference between linear and exponential function?

The linear function increases by the same number each step. The exponential function increases more each step. (1,1),(2,2),(3,3) etc (1,1).(2,4),(3,9),(4,16), etc see how the second one increases a lot?


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I have no idea. However, in theory there is a difference.


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No. An exponential function is not linear. A very easy way to understand what is and what is not a linear function is in the word, "linear function." A linear function, when graphed, must form a straight line.P.S. The basic formula for any linear function is y=mx+b. No matter what number you put in for the m and b variables, you will always make a linear function.


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It closely approximates an exponential function.


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A linear function, of a variable x, is of the form ax+b where a and b are constants. A non-linear function will have x appearing in some other form: raised to a power other than 1, or in a trigonometric, or exponential or other form.


What is the difference between rational function and linear function?

t is the diffrence between a rational funcrion and a linerar and polynomial function


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The linear function Z=c1x1+c2x2+c3x3+..........+cnxn which is to minimized or maximized is called Objective Function of general Linear Programming Problem.The innequalities of LPP are called constraints.


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f(x) = 2x it is linear function


How does the graph of an exponential function differ from the graph of a linear function and how is the rate of change different?

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Does the rule y equals 4x4x represent a linear or exponential function explain?

yes