- What is a zero of a function?
- What are the zeros of the following functions?
- ;

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(a) For the function , the zeros of the function are the value of , when .

Solving by grouping and factorizing gives

or

or .

Therefore, the zeros of are and

(b) For the function , the zeros of the function are the value of , when or .

Recall that .

So, we have

Equating the exponents, we have .

Therefore, the zero of is at .

(c) For the function ; , the zeros of the function are the value of between 0 and , where or .

, n=0, 1, 2, …

For n = 0,

For n =1,

For n =2, which is greater than .

Therefore, the zeros of ; are and .

Hi,

Zero of a function is a domain where the range of that function is zero. There may be multiple Zeros of a function depending upon the degree of that polynomial function and time period for geometric function.