Write a function rule for the table
A) f(x)=-2x
B) f(x)=x-2
C) f(x)=x+2
D)f(x)=2x
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Answer:
D.
Step-by-step explanation:
Recall the slope is change of y over change of x which in this case the change in x is 1 while the change in y is 2 since the [tex]y[/tex]'s are going up by 2 while the [tex]x[/tex]'s are going up by 1.
So the slope is 2.
The one equation with slope 2 is D.
The answer is most likely D.
Let's check.
[tex]f(x)=2x[/tex]
[tex]y=2x[/tex]
[tex]y=2(-3)=-6[/tex] while [tex]x=-3[/tex].
[tex]y=2(-2)=-4[/tex] while [tex]x=-2[/tex].
[tex]y=2(-1)=-2[/tex] while [tex]x=-1[/tex].
[tex]y=2(0)=0[/tex] while [tex]x=0[/tex].
Also notice the [tex]x[/tex] is doubled (multiplied by 2) to get [tex]y[/tex].