Question

1-2 Attributes of Functions

Find the domain, range, and intercepts of the function f (x) = 7x + 11

O A

OB.

domain: (-00,00) ; range:

domain: (-00,00) ; range: (–00,00) ix-intercept: (11,0) : v-intercept: (0, - 2)

[-4,11] :x-intercept: (11,0) : vintercept: (0, - )

[- 4,0] :x-intercept: ( - 4,0) : v-intercept:(0, 11)

domain: (-00,00) + range: (–00,00) : x-intercept: (- 4,0) : vintercept:(0, 11)

C.

domain: (0, 11] : range:

D.

Answer 1

Given:

The function is

`f(x)=7x+11`

To find:

The domain, range, and intercepts of the function.

Solution:

We have,

`f(x)=7x+11`

It is a linear function, and domain and range of these types of functions are all real numbers.

`Domain:(-\infty,\infty)`

`Range:(-\infty,\infty)`

Put x=0 in f(x), to find the y-intercept.

`f(0)=7(0)+11`

`f(0)=0+11`

`f(0)=11`

So, the y-intercept is 11.

Put f(x)=0 in f(x), to find the x-intercept.

`0=7x+11`

`0-11=7x`

`-11=7x`

Divide both sides by 7.

`(-11)/(7)=x`

So, the x-intercept is
`(-11)/(7)`.

Therefore,
`Domain:(-\infty,\infty), Range:(-\infty,\infty), x-intercept : ((-11)/(7),0),`
`y-intercept :11`.