Best Answer

In a polynomial function, the variable x is raised to some integer power.

f(x) = 5x³ + 8x⁵

g(x) = (x + 5)²

In an exponential function, some real number is raised to the power of variable x or some function of x

f(x) = 5ˣ

g(x) = eˣ⁺²

Q: What is the difference be a polynomial function and an exponential function?

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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.

With difficulty. Plot a graph of the polynomial and see where it crosses the x axis. If it does, then y=0 at that point, and (x-a) is a factor. Sometimes you might spot where the polynomial is zero just by trying various values.

Yes. A lot of hyperbolic functions have no y- intercept. Also functions of the form Y=1/x^n Will only go to positive infinity as it approaches zero from the positive x direction and go to negative infinity as it approaches zero from the negative x direction. * * * * * While all that is true, the functions mentioned in the above answer are not polynomial functions! All polynomial functions will have a y-intercept provided there is no additional restriction on the domain so as to exclude x = 0.

addition of coefficient

it is called a constant term.

Related questions

fundamental difference between a polynomial function and an exponential function?

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.

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.

A polynomial function is simply a function that is made of one or more mononomials. For example 4x^2+3x-5 A rational function is when a polynomial function is divided by another polynomial function.

A polynomial is a function or expression that has two or more algebraic terms. Usually, each term has a different exponential power.

The exponential function, in the case of the natural exponential is f(x) = ex, where e is approximately 2.71828. The logarithmic function is the inverse of the exponential function. If we're talking about the natural logarithm (LN), then y = LN(x), is the same as sayinig x = ey.

An algebraic function is a function built from polynomial and combined with +,*,-,/ signs. The transcendental it is not built from polynomial like X the power of Pie plus 1. this function is transcendental because the power pi is not integer number in result it can't be a polynomial.

A __________ function takes the exponential function's output and returns the exponential function's input.

no it is a polynomial. exponential is a number to the x power (3^x)

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

No, 2X is an exponential function. In order to be a polynomial, the terms of an expression must be in the form AxN, such as in 3x2 + 5x - 15.

A power function has the equation f(x)=x^a while an exponential function has the equation f(x)=a^x. In a power function, x is brought to the power of the variable. In an exponential function, the variable is brought to the power x.