Question

how many points of intersections are there between the two functions? √x and 3|x|+1

Answer 1

please note that:
\[y=3|x|+1=3x+1, x \ge 0\]
and:
\[y=3|x|+1=-3x+1, x<0\]

Answer 2

thanks

Answer 3

now, in order to find intersection between y=3x+1 and y=sqrt(x), you have to solve this equation:
\[3x+1=\sqrt{x}\]
whereas if you want to find intersection between -3x+1 and sqrt(x), you have to solve this equation:
\[-3x+1=\sqrt{x}\]