Question

Which of the following functions is graphed below

Answer 1

option B

Explanation:

Lets graph each piecewise function and check

y=x^2 + 4, x<2

Make a table

x y=x^2+4

-2 (-2)^2+4 = 8

0 0^2+ 4= 4

2 2^2 + 4= 8

all the above points on the table satisfies the given graph

We have open circle at x=2 and graph on the left side. so x<2

Now make table for y= x+4

x y=x+4

2 y= 6

6 y = 10

all the above points on the table satisfies the given graph

We have closed circle at x=2 and graph on the right side. so x>=2

y=x^2 + 4, x<2

y= x+4, x>=2

Option B is correct