0
For simple functions, f(x), you set f(x) = 0 and solve that.
For example, to find the 0 of 3x + 7
you set 3x - 7 = 0
so that 3x = 7 or x = 7/3. That is the 0 of the function.
However, there are plenty of functions where this method will fail because the function cannot be solved algebraically.
Linear and quadratic functions are easy; cubics are possible but tedious. Bur what about something like
6x2 + ln(x) = 7sin(x) where x is measured in radians ?
You then go for numerical solutions. This entails finding one approximate solution. Use that solution to find a better one and then use that one to find a still better one and so on. Hopefully (though not always) the iteration will converge to a root. One of the better known methods for this is the Newton-Raphson method.
These methods work for functions that are continuous and differentiable, but many functions are not. And then you go into some serious mathematics and, in order to explain that, I need to know a lot more about your mathematical knowledge.
What else can I help you with?
How does knowing the zeros of a function help determine where a function is positive?
Knowing the zeros of a function helps determine where the function is positive by identifying the points where the function intersects the x-axis. Between these zeros, the function will either be entirely positive or entirely negative. By evaluating the function's value at points between the zeros, one can determine the sign of the function in those intervals, allowing us to establish where the function is positive. This interval analysis is crucial for understanding the function's behavior across its domain.
If a function is positive at a test number does the function has no zeros?
false!
State whether the following is a polynomial function give the zero s of the function if the exist f x x 2-6x plus 8?
The function ( f(x) = x^2 - 6x + 8 ) is a polynomial function because it is a quadratic expression. To find the zeros, we can factor it as ( (x - 2)(x - 4) ), which gives us the zeros ( x = 2 ) and ( x = 4 ). Thus, the zeros of the function are 2 and 4.
Can you determine the zeros of f x squared 64 by using a graph?
Yes, you can determine the zeros of the function ( f(x) = x^2 - 64 ) using a graph. The zeros correspond to the x-values where the graph intersects the x-axis. By plotting the function, you can see that it crosses the x-axis at ( x = 8 ) and ( x = -8 ), which are the zeros of the function.
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 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.
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.
How do you find the real zeros of a cubic function without a calculator?
In general, there is no simple method.
How do you find the zeros of any given polynomial function?
by synthetic division and quadratic equation
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 does it mean to find the zeros of a function?
The zeros of a function are the values of the independent variable where the dependent variable has value of zero. In a typical representation where y = f(x), the zeroes are the points x where y is 0.
What is function of zeros command in matlab?
zeros makes a matrix of the specified dimension, filled with zeros.
How do you find all the zeros of a function?
You could try setting the function equal to zero, and finding all the solutions of the equation. Just a suggestion.
If a function is positive at a test number does the function has no zeros?
false!
How does knowing the zeros of a function help determine where a function is positive?
Knowing the zeros of a function helps determine where the function is positive by identifying the points where the function intersects the x-axis. Between these zeros, the function will either be entirely positive or entirely negative. By evaluating the function's value at points between the zeros, one can determine the sign of the function in those intervals, allowing us to establish where the function is positive. This interval analysis is crucial for understanding the function's behavior across its domain.
what are all of the zeros of this polynomial function f(a)=a^4-81?
Find All Possible Roots/Zeros Using the Rational Roots Test f(x)=x^4-81 ... If a polynomial function has integer coefficients, then every rational zero will ...
