Question

Consider the function.

f(x) = -x-24

Which conclusions can be drawn about f'(x)? Select two options.

F1(x) has a slope of -

f'(x) has a restricted domain.

f(x) has a y-intercept of (0, -36).

F'(x) has an x-intercept of (-36,0).

f'(x) has a range of all real numbers.

Answer 1

D AND E

Explanation:

edu I took it

Answer 2

f(x) has a slope of -1 and has a range of all real numbers.

Explanation:

A linear function is a continuous function, so that exist a range value for all value of the domain, which corresponds to all real numbers. Regarding the function described above, the y- and x-intercepts are, respectively:

x-Intercept

`0 = - x-24`

`x = -24`

f(x) has a x-intercept of (-24,0).

y-Intercept

`f(x) = 0 - 24`

`f(x) = -24`

f(x) has a y-intercept of (0, -24).

Lastly, the linear function has a slope of -1.