Write a rule for the linear function in the table. x fx -4 16 0 0 4 -16 8 -32 a. f(x) = –4x b. f(x) = 4x c. f(x) = x + 16 d f(x) = –1/4x

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.