Question

A coordinate plane. The x-axis scales by one, and the y-axis scales by one. The graph of the function y equals f of x is below the x-axis from x equals negative five to x equals negative one and one-half. It is above the x-axis from x equals negative one and one-half to x equals one and one-half. It is below the x-axis from x equals one and one-half to x equals five. The function is decreasing from x equals negative five to x equals negative three. The function is increasing from x equals negative three to x equals zero. The function decreases from x equals zero to x equals three. The function increases from x equals three to x equals five. All values are estimates. \[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{\llap{-}1}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{1}\]
\[\small{2}\]
\[\small{3}\]
\[\small{4}\]
\[\small{5}\]
\[\small{\llap{-}1}\]
\[\small{\llap{-}2}\]
\[\small{\llap{-}3}\]
\[\small{\llap{-}4}\]
\[\small{\llap{-}5}\]
\[y\]
\[x\]
\[\blueD{y=f(x)}\]
Select the interval where
\[f\] is positive.

Answer 1

f(x) > 0 for -1.5 < x < 1.5, i.e. on the interval (-3/2, 3/2).