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y = ax, where a is some constant, is an exponential function in x

y = xa, where a is some constant, is a power function in x

If a > 1 then the exponential will be greater than the power for x > a

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โˆ™ 2011-11-06 15:01:57
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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: What the difference between an exponential equation and a power equation?
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What is the difference between power functions and exponential functions?

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.

How do you find out if a problem is linear or exponential?

You find out if a problem is linear or exponential by looking at the degree or the highest power; if the degree or the highest power is 1 or 0, the equation is linear. But if the degree is higher than 1 or lower than 0, the equation is exponential.

What is difference between nonlinear equation and transcendental equation?

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.

What is an equation that involves a number raised to a variable power?

An exponential equation.

How do you know if an equation is exponential?

Basically, in an exponential expression (or equation) you have the independent variable in the exponent. For example: 5 times 10x The general form of an exponential function can be written as: abx or: aekx where a, b, and k are constants, and e is approximately 2.718. Note that just having a power doesn't mean you have an exponential equation. For example, in x3 the variable does NOT appear in the exponent, so it is not an exponential expression.

Is y -0.75x a quadratic linear or exponential equation?

This is a linear equation. This is because the x term is only raised to the power one if it had contained an x^2 phrase it would have been quadratin, and if it had contained an n^x term it would have been exponential.

Is y equals 2 to the x power a linear equation?

If you mean y = 2^x, then no, it is not a linear equation. This is an exponential equation. The graph of this exponential equation would start out near zero on the left-hand side (there is a horizontal asymptote at y = 0) and would gradually increase as you move to the right: overall, it has a curved shaped. If you mean y = 2x, then yes, it is a linear equation.

What is an example of an exponential equation whose only solution is 4?

2^x = 16In general, "exponential" implies that the variable part is in the exponent. Write any equation with a power of 4, do the calculation, then replace "4" with "x".

The difference between an exponential number and a power of 10?

Exponential numbers are in the form ax where a and x are real numbers. A power of 10 is any number in the form 10x. By definition this is an exponential number. If by "an exponential number" you mean THE exponential number, e, then the difference lies in the value of the base. e is a transcendental number (just like pi) with a value of approximately 2.71818182859045235... Just like pi, this decimal theoretically does not terminate and does not repeat i.e. goes on for an infinite number of places. e is known as the "natural base" because it appears in many natural structures from logarithms to compound interest to complex numbers.

What is the difference between a line graph and a linear equation?

A linear equation, when plotted, must be a straight line. Such a restriction does not apply to a line graph.y = ax2 + bx +c, where a is non-zero gives a line graph in the shape of a parabola. It is a quadratic graph, not linear. Similarly, there are line graphs for other polynomials, power or exponential functions, logarithmic or trigonometric functions, or any combination of them.

What is 8 to the 2nd power in exponential form?

8², that is the exponential form. :)

What is the difference between a polynomial and a quadratic equation?

A quadratic equation is of degree 2, that is, the highest power is 2. A polynomial is not an equation, however, you can convert it into an equation by setting the polynomial equal to zero for example. A polynomial EQUATION can be of any degree: 1, 2, 3, 4, etc.

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