The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
The y-axis on a semi logarithmic chart is exponential. This way, when an exponential function is depicted in the chart, it will evolve as a linear function. You often do this to proove that the function is exponential and/or as a tool to help you find the equation for the function. For more see: http://www.answers.com/topic/semi-logarithmic-plot
No, the equation y = 102x is not exponential. An exponential function is of the form y = a * b^x, where a and b are constants. In this case, the equation y = 102x is a linear function, as it represents a straight line with a slope of 102 and no exponential growth or decay.
A polynomial equation of order >1 that is, where the power of the variable is greater than 1 is a non linear function. A transcendental function is one that cannot be expressed as a finite number of algebaraic operations (addition, multiplication, roots). The exponential and trigonometric functions (and their inverses) are examples.
Linear growth: The population adds the same number every week/month/year.Exponential growth: The population multiplies bythe same number every week/month/year.
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 unsustainableand 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 .
I have no idea. However, in theory there is a difference.
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.
It closely approximates an exponential function.
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.
t is the diffrence between a rational funcrion and a linerar and polynomial function
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.
A linear function is a line where a quadratic function is a curve. In general, y=mx+b is linear and y=ax^2+bx+c is quadratic.
f(x) = 2x it is linear function
The graph of a linear function is a line with a constant slope. The graph of an exponential function is a curve with a non-constant slope. The slope of a given curve at a specified point is the derivative evaluated at that point.
is the relationship linear or exponential
yes