Which statement best describes the function below? F(x)=2x^2-3x+1
1 answer:
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Notice that we have common denominator 2, so we can split the denominator to express the function in the form 
where
is the slope
is the y-intercept
Look what we have here, a linear function! We know that the domain and range of linear functions is the real numbers.
We can conclude that:
the domain of the function is all the real numbers
the range of the function is all the real numbers
Now, to find the inverse of our function, we are going to replace
with 
; then, we are going to interchange 
and and solve for :
The inverse of our linear function, is another linear function, so we can conclude that:
the domain of the inverse function is all the real numbers
the range of the inverse function is all the real numbers
where
Look what we have here, a linear function! We know that the domain and range of linear functions is the real numbers.
We can conclude that:
the domain of the function is all the real numbers
the range of the function is all the real numbers
Now, to find the inverse of our function, we are going to replace
The inverse of our linear function, is another linear function, so we can conclude that:
the domain of the inverse function is all the real numbers
the range of the inverse function is all the real numbers