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Question: What do the zeros of a function represent?...

What do the zeros of a function represent?

Explanation

Solution

In this problem, we can see about the zeros of the functions. We should know that the zeros of the functions represent the x values that result in y being zero. It also represents the intercepts, when being graphed and it represents the roots of a function. Here we can see about it with an example.

Complete step-by-step solution:
Here we can see about the zeros of a function.
We should know that the zeros of the functions represent the x values that result in y being zero. It also represents the intercepts, when being graphed and it represents the roots of a function.
In graphs, we have an intercept, where at x-intercept, y is 0 that is the function of x and at y-intercepts x is 0, that is function of y.
We can now take a function,
y=x+2y=x+2
Here we can find the x-intercept, where y is 0, we get

& \Rightarrow x+2=0 \\\ & \Rightarrow x=-2 \\\ \end{aligned}$$ Where, the $$f\left( x \right)=0$$. We can now find the y-intercept, where x is 0, we get $$\Rightarrow y=2$$ **Where, the function of y is 0.** ![](https://www.vedantu.com/question-sets/f7528e4a-3a18-4070-ae37-d2c937896f845150765761872790262.png) **Note:** We should always remember that the zeros of the functions represent the x values that result in y being zero. It also represents the intercepts, when being graphed and it represents the roots of a function. In graphs, we have an intercept, where at x-intercept, y is 0 that is the function of x and at y-intercepts x is 0, that is function of y.