Question

-2x^2 + 3x - 8 what is the range of this function?

Answer 1

a parabola that opens down, so range is from - infinity to the y value of the vertex

Answer 2

to find the vertex use
\[x=-\frac{b}{2a}\] in this case you get
\[x=\frac{3}{4}\] replace x by 3/4 and find
\[y=-\frac{55}{8}\]

Answer 3

so range is
\[(-\infty,-\frac{55}{8}]\]