Answer:
The x-intercepts of the graph are 0, -1, 5, 7
Step-by-step explanation:
The given function is,
[tex]f(x) = x(x + 1)(x-5)(x-7)[/tex]
x-intercept of a graph is the point where the value of y or f(x) becomes 0. The x-intercepts are the zeros or roots of the function.
i.e [tex]f(x)=0[/tex]
[tex]\Rightarrow x(x + 1)(x-5)(x-7)=0[/tex]
[tex]\Rightarrow x=0,x+1=0,x-5=0,x-7=0[/tex]
[tex]\Rightarrow x=0,-1,5,7[/tex]
