Question

which of the following functions is graphed below

Answer 1

Answer:

option B

Step-by-step 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