we know that
The x-intercept is the value of x when the the value of y is equal to zero
and
The y-intercept is the value of y when the the value of x is equal to zero
In the graphed function we have that
the value of x when the the value of y is equal to zero is

therefore
the x-intercept is equal to the point

the value of y when the the value of x is equal to zero is

therefore
the y-intercept is equal to the point

the answer is
x-intercept = (–1, 0)
y-intercept = (0, –3)