Answer
See the graph and explanation below.
Work Step by Step
Apply the Intermediate Value Theorem (IVT) for Continuous Functions:
When $f(a)$ is negative, and $f(b)$ is positive, then $y_{0}=0$ is a value between $f(a)$ and $f(b).$
The IVT for continuous functions guarantees that that an $x=c\in(a,b)$ exists for which $f(c)=0$, that is, a solution of the equation $f(x)=0$
exists in $[a,b]$.
What this means is that if the graph is below the x-axis at x=0,
and above the x-axis at x=1, then at some point it has to cross the x-axis, because the function is continuous (no holes, no jumps, no infinite discontinuities).
