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karush
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MHB
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$f(x)=(x/100)-sin(x)$
Find the zeros
Thot my TI was going to melt trying to solve this
Find the zeros
Thot my TI was going to melt trying to solve this
karush said:$f(x)=(x/100)-sin(x)$
Find the zeros
Thot my TI was going to melt trying to solve this
The zeros of a function represent the values of the independent variable (x) for which the function equals zero. In other words, they are the points on the graph where the function crosses the x-axis. Finding the zeros can help us solve equations, understand the behavior of a function, and make predictions about the function's output.
To find the zeros of a function, we set the function equal to zero and solve for the value(s) of x. In the case of f(x)=(x/100)-sin(x), we can use algebraic methods such as factoring or the quadratic formula, or we can use graphical methods such as a graphing calculator or a table of values.
The zeros of this function represent the values of x for which the function equals zero. In this case, the zeros occur when x=0 or when sin(x)=x/100. These values have important implications for the behavior of the function and can help us analyze and understand its properties.
Yes, a function can have multiple zeros. In the case of f(x)=(x/100)-sin(x), there are infinite potential values of x that could make the function equal to zero. However, depending on the properties of the function, there may be a finite number of actual zeros.
Finding the zeros of a function can be useful in many real-world situations. For example, in physics and engineering, finding the zeros of a displacement function can help us determine the position of an object at rest. In economics, finding the zeros of a profit function can help us identify the break-even point for a business. In general, finding the zeros of a function can provide valuable insights into the behavior and properties of the system being modeled.