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Question 16 of 25

2 Points
Which of the following functions is graphed below?

Answer is in the picture

Question 16 of 25 2 Points Which of the following functions is graphed below? Answer-example-1

1 Answer

4 votes

Answer is option C.

Explanation:

From the graph we see that

When x = -2, y = 8

When x = -1, y = 5

When x = 0, y= 4

When x = 1, y = 5

When x = 2 y=6

When x = 6 y=10

Hence we get the plotted points as (-2,8) , (-1,5) ,(0,4), (1,5) , (2,6), (6,10)

Now consider the function given in option C. Using the above values of x we can get the corresponding values of y.

y = \left \{ {{x^{2} +4, x<2} \atop {x+4, x>=2}} \right.

When x = -2, y = x^{2} +4 = 8

When x = -1, y = x^{2} +4 = 5

When x = 0, y = x^{2} +4 = 4

When x = 1, y = x^{2} +4 = 5

When x = 2, y = x +4 = 6

When x = 6, y = x +4 = 10

These points match the points obtained from the graph as shown above.

Hence option C is the function plotted in the graph

Note : By substituting the above points in the functions given in option A, B and D, we can see that the result does not match the points obtained from the graph.

User Rian Quinn
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