ANSWER
The y-intercept is (0,-11)
The x-intercepts are:
(-1,0) and (11,0)
EXPLANATION
The given function is
[tex]f(x) = {x}^{2} - 10x - 11[/tex]
To find the y-intercept, we put x=0 into the function.
[tex]f(0) = {0}^{2} - 10(0) - 11[/tex]
[tex]f(0) = - 11[/tex]
The y-intercept is (0,-11)
To find the x-intercepts, we put f(x)=0.
[tex]{x}^{2} - 10x - 11 = 0[/tex]
[tex](x + 1)(x - 11) = 0[/tex]
This implies that,
[tex]x = - 1 \: or \: x = 11[/tex]
The x-intercepts are:
(-1,0) and (11,0)
