Name some functions, the different forms of equations of lines and how to graph them Thank You!?
Mathematics

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Math , please help
Apr 28th, 2015
1) Linear equations=
These are functions of the form:
y = m x + b,where m and b are constants. A typical use for linear functions is converting from one quantity or set of units to another. Graphs of these functions are straight. m is the slope and b is the yintercept. If m is positive then the line rises to the right and if m is negative then the line falls to the right.
2) Quadratic functions;these are functions of the form:
y = a x2+ b x + c,where a, b and c are constants. Their graphs are called parabolas. This is the next simplest type of function after the linear function. Falling objects move along parabolic paths. If a is a positive number then the parabola opens upward and if a is a negative number then the parabola opens downward.3) Power functions;These are functions of the form:
y = a x^{ b},where a and b are constants. They get their name from the fact that the variable x is raised to some power. Many physical laws (e.g. the gravitational force as a function of distance between two objects, or the bending of a beam as a function of the load on it) are in the form of power functions. We will assume that a = 1 and look at several cases for b:
See the graph to the right. When x = 0 these functions are all zero. When x is big and positive they are all big and positive. When x is big and negative then the ones with even powers are big and positive while the ones with odd powers are big and negative.
4) Polynomial functions;These are functions of the form:
y = a_{n} · x^{ n} + a_{n −1} · x^{ n −1} + … + a_{2} · x^{ 2} + a_{1} · x + a_{0},where a_{n}, a_{n −1}, … , a_{2}, a_{1}, a_{0} are constants. Only whole number powers of x are allowed. The highest power of x that occurs is called the degree of the polynomial. The graph shows examples of degree 4 and degree 5 polynomials. The degree gives the maximum number of “ups and downs” that the polynomial can have and also the maximum number of crossings of the x axis that it can have.
Apr 28th, 2015
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Apr 28th, 2015
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Apr 28th, 2015
Oct 24th, 2016
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