Question

draw the graph of the function f(x)=(1+2x when x<0 and 3+5x when x>=0 also find its range

Answer 1

Given :   function f(x)=(1+2x when x<0 and 3+5x when x>=0

To Find : Range

Draw graph

Solution:

f(x) = 1 + 2x    x < 0

f(x) = 3 + 5x   x ≥ 0

f(x) = 1 + 2x    x < 0

=> f(x) < 1+ 2(0)

=> f(x) <  1

f(x) = ( -∞ , 1)   for  x < 0

f(x) = 3 + 5x   x ≥ 0

f(x)  ≥  3 + 5(0)

=> f(x)  ≥  3

f(x) = [ 3 , ∞  )   for  x ≥ 0

Range

f(x) = ( -∞ , 1)   ∪ [ 3 , ∞  )

or  R -  [1 , 3)

Learn More:

Let A={1,2,3,4,...,45} and R be the relation defined as “is square of ”

brainly.in/question/9259297

Graph the following Piecewise function. Then determine the domain ...

brainly.in/question/23634530