Question

Consider the function f : R  R defined

by f(x) = −||. Find the domain and

range of f. Draw the graph of f​

Answer 1

Answer:

Consider the function f : R  R defined

by f(x) = −||. Find the domain and

range of f. Draw the graph of f

Consider the function f:R→R, defined by

f(x)=

⎩

⎪

⎪

⎪

⎨

⎪

⎪

⎪

⎧

1−x,when,x<0

1,whenx=0

x+1,whenx>0

write its domain and range .also draw the graph of f(x).

Step-by-step explanation:

Here, f(x)=1−x for x<0.

So, f(−4)=1−(−4)=5

f(−3)=1−(−3)=4

f(−2)=1−(−2)=3

f(−1)=1−(−1)=2 etc.

Also, f(x)=1 for x=0

Lastly, f(x)=x+1 for x>0

and f(1)=2,f(2)=3,f(3)=4,f(4)=5 and so on.