Question

If f(x) = x2 - 4x + 1, how would i find the range of f(x) ??

Answer 1

find the second coordinate of the vertex and then say from there to infinity

Answer 2

x^2 is a parabola. Find the min value or vertex. From min to...(you know how a parabola behaves)

Answer 3

magic formula for vertex is
\[-\frac{b}{2a}=-\frac{-4}{2}=2\]
\[f(2)=2^2-4\times 2+1=-3\] so range is
\[[-3,\infty)\]

Answer 4

\[2x ^{2}+5x-3\le0\] I have another one how do i go about solving this?

Answer 5

find the zeros. it will be negative between them

Answer 6

\[2x^2+5x-3=0\]
\[(2x-1)(x+3)=0\]
\[x=-3\] or
\[x=\frac{1}{2}\]

Answer 7

so negative on the interval
\[(-3,\frac{1}{2})\]