Question
A graph of `f\left(x\right)=6x^{2}-11x+3` is shown on the grid.
What are the zeros
What are the zeros
Answers
Answer
A graph of `f\left(x\right)=6x^{2}-11x+3` is shown on the grid.
What are the zeros
What are the zeros
Answered by
GPT 3.5
of the function?
Answered by
GPT 3.5
To find the zeros of the function, we need to find the x-values where the function crosses the x-axis (y=0).
The zeros of a function occur when f(x) = 0, so we set 6x^2 - 11x + 3 = 0.
To solve this quadratic equation, we can either factor it or use the quadratic formula.
By factoring:
6x^2 - 11x + 3 = 0
(2x - 1)(3x - 3) = 0
2x - 1 = 0 or 3x - 3 = 0
2x = 1 3x = 3
x = 1/2 x = 1
So the zeros of the function are x = 1/2 and x = 1.
The zeros of a function occur when f(x) = 0, so we set 6x^2 - 11x + 3 = 0.
To solve this quadratic equation, we can either factor it or use the quadratic formula.
By factoring:
6x^2 - 11x + 3 = 0
(2x - 1)(3x - 3) = 0
2x - 1 = 0 or 3x - 3 = 0
2x = 1 3x = 3
x = 1/2 x = 1
So the zeros of the function are x = 1/2 and x = 1.
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