Question

Sketch the linear function f(x) = 1 3 (3x + 9) − 6x. Which key feature is correctly listed? A) x-intercept (6, 0) B) y-intercept (0, 3) C) y-intercept (0, 1 3 ) D) x-intercept ( 1 3 , 0)

Answer 1

its c

Explanation:

Answer 2

Given the function
`f(x)=(1)/(3)(3x+9)-6x.`

1) Find x-intercept:

when y=0, then

`(1)/(3)(3x+9)-6x=0,\\ \\x+3-6x=0,\\ \\-5x=-3,\\ \\x=(3)/(5) .`

Point
`\left((3)/(5),0\right)` is x-intercept.

2) Find y-intercept:

when x=0, then

`y=(1)/(3)(3\cdot 0+9)-6\cdot 0=(1)/(3)\cdot 9=3.`

Point (0,3) is y-intercept.

Answer: correct option is B