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If you have come across the cartesian coordinate plane in algebra this will be simple for you to understand. If not then see below for explanation of a cartesian coordinate plane. The zeros of a function is techincally the solution. On the cartesian coordinate plane the zeros occur on the axis's. They are called the intercepts. Lets say something crosses the x-axis at a point (3,0). This would be called a zero of the function because at this point x=3. Let me show you an example. I'll give you a basic equation.
y=x2 - 4x + 4 [find zeros of the function... this happens when y=0 ... so do this]
0=x2 - 4x + 4 [factor it]
0=(x-2)(x-2) [the zeros will be when x=2 because 2-2=0 and this would make 0=0]
x=2 and 2
So in this equation the graph will cross the x-axis at 2.
Now if you dont know what a cartesian coordinate plane is listen up cause you will run into it alot in algebra and all of calculus. It is very very simple. It is just two lines perpendicular to each other. Imagine one line perfectly straight up and down(vertical line) and another line perfect straight left to right(horizontal line). Now make these two line intersect in the middle of each line. You should have a cross looking shape. The horizontal line is called the x-axis and the vertical line is called the y-axis. You can make tick marks on these lines. The positive direction is up on the y-axis and right on the x-axis and oppositely the negatives are left and down. So a point line (2,0) means you go two ticks marks to the right on the x-axis and zero ticks on the y-axis. As you can see it fairly simple.
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If a function is positive at a test number does the function has no zeros?
false!
Can a polynomial have more zeros than the highest degree of the function?
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.
How many zeros can you have in an algebraic function?
For an algebraic function in one variable, as many as the highest power of the variable.
What is the difference between x-intercepts of a function and zeros of a function?
Assuming it is a function of "x", those are two different names for the same thing.
How is the x-value of the vertex of a parabola related to the zeros of the function?
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.
What are the zeros of a polynomial function?
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.
What are integral zeros?
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.
What is function of zeros command in matlab?
zeros makes a matrix of the specified dimension, filled with zeros.
How can you use the zeros of a function to find the maximum or minimum value of the function?
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
If a function is positive at a test number does the function has no zeros?
false!
How can you use a graph to find zeros of a quadratic function?
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
What are integres?
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.
Can a polynomial have more zeros than the highest degree of the function?
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.
What happens if there are no zeros in a quadratic function?
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.
What are the zeros for this function?
The function is F(x)= x^3+3x^2-6x+20
What do the zeros of a polynomial function represent on a graph?
The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
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 specific interval?
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?
