Question

mutiple

parts

T hen graph fand give the (a) domain and (b) range. Determine the largest open Explain how the graph of the function f(x) = can be obtained from the graph of y intervals of the domain over which the function is (c) increasing or (d) decreasing. To obtain the graph oft, the graph of y by a factor of Graph the function f(x) = Choose the correct graph below. OB. (a) The domain of f(x) is (Type your answer in interval notation) (b) The range of f(x) is Type your answer in interval notation)

Answer 1

when a function f(x) strech vertically by a factor k , it becomes kf(x).

here function $y=\frac{1}{x}$ becomes  $f(x)=\frac{4}{x}$ . this occur when y is multiplied by 4 .

so transformation occured is streching vertically by a factor 4 . so answer is

to obtain graph of f , strech the graph of y=1/x vertically by a factor of 4 .

graph .

graph will be similier as 1/x but streched vertically . so correct graph is graph A.

for both side graph is decreasing . there is no increasing region .

C)   there is no interval of domain for which the function is decreasing .

D) the function decrease from negative infinity to zero and from zero to infinity .

the function is decreasing on

$\large \boldsymbol{(-\infty,0) ,(0,\infty)}$