Question

Write a rule for the linear function in the table.

To write a function rule fro a table look for a pattern. The slope m is f(x)/x, and b is the value of f(x) when x=0. Help please I'm confused.

x f(x)
-4 16
0 0
4 -16
8 -32

Answer 1

use the slope formula and two points
y=mx+b
because of (0,0) your b value is 0
you just need your m value

Answer 2

um would that be m= 16/4=4 ?

Answer 3

which two points did you use?

Answer 4

i didn't use two points. what i did was from the table the pattern was ( x side ) 4 and f(x) 16. so my m value = 16/4 = 4. Am I doing this wrong ?

Answer 5

I'm following this.

Answer 6

the slope, m, equals the difference in f(x) over the difference in X, NOT f(x) over X. It says this at the top of your screenshot.

Note: f(x) is usually stated as Y.

Take two points:
\[(X_{1},f(x)_{1}) \text{ and } (X_{2},f(x)_{2})\]

\[\frac{f(x)_{2}-f(x)_{1}}{X_{2}-X_{1}}=m\]

Put the numbers in, solve, and you'll get m.

Answer 7

thank you