P.6 Zeros of Functions.

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Presentation transcript:

P.6 Zeros of Functions

Definition: Zeros of a function – where the height of the graph is zero. Comparable to x-intercepts on the real number system. To find x-intercepts…replace “y” with zero. To find zeros…replace “y” with zero.

Examples: Find the zeros of the following functions. Replace the y with zero. f(x) = 3x - 2 Where is the y? x = 2/3 Solve for x.

Examples: Find the zeros of the following functions. Replace the y with zero. f(x) = x2 + 4x Where is the y? x = 0 & x = -4 Solve for x.

Examples: Find the zeros of the following functions. Replace the y with zero. f(x) =  3x - 4 Where is the y? x = 4/3 Solve for x.

Examples: Find the zeros of the following functions. Replace the y with zero. f(x) = 3x – 2 x - 7 Where is the y? x = 2/3 Solve for x.

Remember: The zeros to all the previous questions are the places where their graphs cross over the x-axis.