- What is a zero of a function?
- What are the zeros of the following functions?
- ;
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2.
(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.