The zeros, or roots, of a linear function is the point at which the line touches the x-axis. Since a linear function is a straight line, it has a maximum of one root (zero). The zero of a function can be determined by the highest degree (power) of the function. Since linear functions are only raised to the power of one, one is the total number of times the line can touch the x-axis. If you function is a horizontal line, it has no root, or zero.
false!
no a plynomial can not have more zeros than the highest (degree) number of the function at leas that is what i was taught. double check the math.
For an algebraic function in one variable, as many as the highest power of the variable.
Assuming it is a function of "x", those are two different names for the same thing.
For a parabola in a normal position ... with its nose either straight up or straight down ... the x-value of the vertex is midway between the zeros of the function, i.e. their average.
the zeros of a function is/are the values of the variables in the function that makes/make the function zero. for example: In f(x) = x2 -7x + 10, the zeros of the function are 2 and 5 because these will make the function zero.
The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.
zeros makes a matrix of the specified dimension, filled with zeros.
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
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The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
The integral zeros of a function are integers for which the value of the function is zero, or where the graph of the function crosses the horizontal axis.
no a plynomial can not have more zeros than the highest (degree) number of the function at leas that is what i was taught. double check the math.
Whether or not a function has zeros depends on the domain over which it is defined.For example, the linear equation 2x = 3 has no zeros if the domain is the set of integers (whole numbers) but if you allow rational numbers then x = 1.5 is a zero.A quadratic function such as x^2 = 2 has no rational zeros, but it does have irrational zeros which are sqrt(2) and -sqrt(2).Similarly, a quadratic equation need not have real zeros. It will have zeros if the domain is extended to the complex field.In the coordinate plane, a quadratic without zeros will either be wholly above the horizontal axis or wholly below it.
The function is F(x)= x^3+3x^2-6x+20
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
Discuss how you can use the zeros of the numerator and the zeros of the denominator of a rational function to determine whether the graph lies below or above the x-axis in a specified interval?