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12y ago

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Would it be easier to find the rule for a function table with 3 pairs of numbers or 4 pairs of numbers?

If it's a linear function, 3 should do, but 4 will give an extra check on you work. If the function is quadratic exponential, etc. then at least 4 pairs should be used.


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?


What are the characteristics of exponential functions?

Here are some: * They tend to grow (or decrease) very fast* The derivative of the basic exponential function is equal to the function value itself * They are used to describe many common situations, such as the growth of a population under certain conditions, radioactive decay, etc. * An exponential function with a positive exponent will eventually grow faster than any polynomial function


What are the basic primitive functions?

The basic primitive functions are constant function, power function, exponential function, logarithmic function, trigonometric functions (sine, cosine, tangent, etc.), and inverse trigonometric functions (arcsine, arccosine, arctangent, etc.).


What is exponential growth?

Exponential Growth is when the growth rate of a mathematical function is proportional to the function's current value. Exponential growth is when an animal or whatever object increasing at an increasing rate. For example 2, 4, 8, 16, 32, 64 etc. This is exponential growth because it is multiple by a consistent number, or two. The key part is that is it multipled not added which would be lineal growth.


Differentiate between polynomial algorithm and exponential algorithm?

Do you mean, "the difference between an algorithm that runs in polynomial time, and one that runs in exponential time".First a real quick review. A polynomial is any equation of the formy = cmxm + ... + c2x2 + c1x + c0 ,where ci are constantsAn exponential function is something of the formy = cxThese functions grow much faster than any polynomial function.So, if T(n) describes the runtime of an algorithm as a function of whatever (# of inputs, size of input, etc.)., and T(n) can be bound above by any polynomic function, then we say that algorithm runs in polynomial time.If it can't be bound above by a polynomial function, but can be bound above by an exponential function, we say it runs in exponential time.Note how ugly an exponential algorithm is. By adding one more input, we roughly double (or triple, whatever c is) the run-time.


How can you use functions to solve real-world problems?

The basic idea is to represent the relationship between two variables as a function. Many problems in physics, chemistry, etc. use common functions (such as the square function, the square root function, the exponential function), or more complicated functions.


What math function can be resolve by math coprocessor?

From Wikipedia: "Typical operations are addition, subtraction, multiplication, division, and square root. Some [older] systems ... can also perform various transcendental functions such as exponential or trigonometric calculations, though in most modern processors these are done with software library routines." Trigonometric refers to sine, cosine, etc., as well as the corresponding inverse functions. The exponential function is to calculate ex, in combination with the natural (base e) logarithm, this can be used to calculate powers.


What graphs are used when trying to find trends in data?

Scatter graphs. Line graphs may be used at a later stage when there is a better idea of the general shape of the line - whether it is a straight line, a quadratic curve, a logarithmic or exponential curve etc, or one of the standard probability distributions.


What shape is bounded by a straight line and a curve?

There is no specific name for it since the curve is not specified. The curve could be a conic section (circle, ellipse, parabola, hyperbola), or a trigonometric function, or a polynomial, exponential, etc. Or a combination of these.


Which of the expressions are not polynomials?

Exponential, trigonometric, algebraic fractions, inverse etc are all examples.


What is the different of polynomial and non-polynomial?

Briefly: A polynomial consists only of powers of the variables - ie the variables multiplied by themselves or one another. A non polynomial can include any other function such as trigonometric, exponential, logarithmic etc.