Answer
$x$-intercepts: $-1, 1$
$y$-intercept: $-1$
Refer to the graph below.
Work Step by Step
To find the $x$-intercept/s, set $y = 0$ then solve for the equation to obtain:
\begin{align*}
x^2 - 1 &= 0\\
x^2&=1\\
\sqrt{x^2}&=\pm\sqrt1\\
x&=\pm1
\end{align*}
The $x$-intercepts are $\pm1$.
To find the $y$-intercept/s, set $x = 0$ then solve the equation to obtain:
\begin{align*}
y &= (0)^2 - 1\\
y&=-1
\end{align*}
The $y$-intercept is $- 1$.
Create a table of values by assigning values to $x$, then solve for the corresponding value of $y$ for each $x$ to obtain:
\begin{array}{ccc}
&x &y &\text{point}\\
&-2 &3 &(-2, 3)\\
&-1 &0 &(-1, 0)\\
&0 &-1 &(0, -1)\\
&1 &0 &(1, 0)\\
&2 &3 &(2, 3)
\end{array}
Plot the points and connect them using a smooth curve.
Refer to the graph above.
