How can one determine the zeros of a function?

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

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

To determine the zeros of a function, set the function equal to zero and solve for x. For polynomials, you can use the quadratic formula if it is needed, or graph the function to visually locate the zeros. Understanding these steps helps identify where the function intersects the x-axis, which are the zeros.
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Answered by kate200468 | 2024-11-22