The x-intercept is (1, 0) and (-0.5, 0).
The correct option is (a)
<h3>What is intercept?</h3>
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis.
Given function is:
f(x)= ![-2x^{2}+x+1](https://tex.z-dn.net/?f=-2x%5E%7B2%7D%2Bx%2B1)
So, The graph of this equation is attaches below.
The x- intercepts of this graph
![\mathrm{X\:Intercepts}:\:\left(-\frac{1}{2},\:0\right),\:\left(1,\:0\right)](https://tex.z-dn.net/?f=%5Cmathrm%7BX%5C%3AIntercepts%7D%3A%5C%3A%5Cleft%28-%5Cfrac%7B1%7D%7B2%7D%2C%5C%3A0%5Cright%29%2C%5C%3A%5Cleft%281%2C%5C%3A0%5Cright%29)
or
X intercepts: (1, 0) and (-0.5, 0)
Hence, the x-intercept is (1, 0) and (-0.5, 0).
Learn more about intercept here:
brainly.com/question/14180189
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