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Some values of the function f are shown ...


Some values of the function f are shown in the table above. Which of the following defines f ?

A

`f (x) =7x-1`

B

`f (x) =6x-5`

C

`f (x) =5x+1`

D

`f (x) =4x +5`

Text Solution

Verified by Experts

The correct Answer is:
B
Use one of the given points to test the functions. Choose the point that is easiest for you the test. When `x =2, y=7,` so plug `x =2` into the choices and find the one that yields `y =7.`
Test (A) `f (2) =7 (2) -1=13.` Eliminate (A).
Test (B): `f (2) =6 (2) -5=7.` Kweep (B).
Test (C ): `f (2) =5 (2)+1=11`. Eliminate (C ).
Test (D): `f (2) =4 (2) +5 =13.` Eliminate (D).
Only (B) remains, and it is correct.
Since all the choices have different slopes, an alternative approach would be to find the slope of the line by using two points.
use the formula Slope `= ("rise")/("run") ` to get `(13-7)/(3-2)=6.` (B) is correct.
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