Question

Evaluating linear functionsfor f(x) = 1/3x - 2, determine:a, f(9)b, f(-1)c,f(0)

Answer 1

Given the function:

`\text{ f(x) = }(1)/(3)\text{x - 2}`

Let's evaluate,

a.) f(9) : It means that we will substitute all x in the equation by 9.

We get,

`\text{ f(x) = }(1)/(3)\text{x - 2}`
`\text{ f(9) = }(1)/(3)(9)\text{ - 2}`
`\text{ = }(9)/(3)\text{ - 2}`
`\text{ = 3 - 2}`
`\text{ f(9) = 1}`

Therefore, f(9) = 1.

b.) f(-1) : It means that we will substitute all x in the equation by -1.

We get,

`\text{ f(x) = }(1)/(3)\text{x - 2}`
`\text{ f(-1) = }(1)/(3)(-1)\text{ - 2}`
`\text{ = -}(1)/(3)-2`
`\text{ = -}(1)/(3)\text{ - }(6)/(3)\text{ = }\frac{-1\text{ - 6}}{3}`
`\text{ f(-1) = -}(7)/(3)`