Answer:
x | -1 0 1 2 3 4 5
y | 5 0 -3 -4 -3 0 5
Step-by-step explanation:
The given function is
[tex]y=x^{2} -4x[/tex]
We need to find the y-value for [tex]x=-1[/tex], [tex]x=1[/tex], [tex]x=2[/tex] and [tex]x=4[/tex].
For [tex]x=-1[/tex]
[tex]y=(-1)^{2} -4(-1)=1+4=5[/tex]
For [tex]x=1[/tex]
[tex]y=1^{2}-4(1)=1-4=-3[/tex]
For [tex]x=2[/tex]
[tex]y=2^{2}-4(2)=4-8=-4[/tex]
For [tex]x=4[/tex]
[tex]y=4^{2} -4(4)=16-16=0[/tex]
Therefore, the complete table would be
x | -1 0 1 2 3 4 5
y | 5 0 -3 -4 -3 0 5
