Select the correct answer.If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
Question
Select the correct answer.If the factors of function f are (x − 6) and (x − 1), what are the zeros of function f?
Solution
The zeros of a function are the x-values for which the function equals zero. They are found by setting each factor equal to zero and solving for x.
For the factor (x - 6), set it equal to zero:
x - 6 = 0
Add 6 to both sides:
x = 6
So, one zero of the function f is 6.
For the factor (x - 1), set it equal to zero:
x - 1 = 0
Add 1 to both sides:
x = 1
So, the other zero of the function f is 1.
Therefore, the zeros of the function f are 1 and 6.
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