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In Mathematics / Middle School | 2014-05-27

What are the zeros of a function?

Asked by Allisonmo99

Answer (3)

They are the values of 'x' that make the function zero.
If you graph the function, they are the values of 'x' where the graph crosses the x-axis.

Answered by AL2006 | 2024-06-10

t h e a r gu m e n t x f or w hi c h t h e v a l u e y o f t h e f u n c t i o n i s zero e . g . y = 2 x − 6 ⇒ t h e zeros o f a f u n c t i o n i s x = 3 . ( y = 2 ⋅ 3 − 6 = 6 − 6 = 0 ) y = x 2 + 8 x ⇒ t h e zeros o f a f u n c t i o n a re x = 0 or x = − 8 . ( y 1 ​ = 0 2 + 8 ⋅ 0 = 0 ; y 2 ​ = ( − 8 ) 2 + 8 ⋅ ( − 8 ) = 64 − 64 )

Answered by kate200468 | 2024-06-10

The zeros of a function are the values of 'x' that make the function equal to zero, found by solving the equation f(x) = 0. Graphically, they occur where the function intersects the x-axis. Different types of functions can have varying numbers of zeros, influencing how the function behaves.
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Answered by AL2006 | 2024-09-30