Zeros of a function f(x) is…
x-values for which f(x)=0
The zeros of a function f(x) are the values of x for which the value of the function is zero. In other words, the zeros of a function are the x-intercepts of its graph. Geometrically, when we plot the function on a graph, the x-intercepts of the graph are the points where the graph crosses the x-axis.
Mathematically, the zeros of a function f(x) can be found by setting f(x) = 0 and solving for x. Depending on the complexity of the function, finding the zeros might be relatively simple or it might require more advanced techniques such as factoring or using the quadratic formula.
Knowing the zeros of a function is important because it helps us understand the behavior of the function, including its domain and range, its maximum and minimum values, and its graph. For example, if a function has only one zero, it means that the function either always takes positive or negative values. If a function has multiple zeros, it means that the function changes sign between the zeros.
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