Question

The table shows a linear function.

Which equation represents the function?

x f(x)
-6 -1
-3 4
0 9
3 14

A. f(x)= -5/3x+9
B. f(x)= -5/3x-9
C. f(x)= 9x+5/3
D. f(x)= 5/3x+9

Answer 1

D.

Explanation:

Try A:

x = -6, f(x) = -1:-

f(-6) = -5/3(-6) + 9

= 10 + 9 = 19 NOT A.

Try B:

f(-3) = -5/3(-3) - 9

= 5 - 9 = -4 NOT B

Try C:

9(0) + 5/3 = 5/4 NOT C

Try D:

f(3) = 5 + 9 = 14

f(0) = 9, f(-6) = -1 and f(-3) = 4