Question

Which function represents g?A(-25-5,OB-00

Answer 1

We will find the correct answer by elimination.

From the graph, we see that function takes the following values:

0. for x = 1, g(1) = -4,

,

1. for x = 5, g(5) = 4.

A) We evaluate the function from point A at x = 1, we get:

`g(1)=-3\cdot1-5=-8\\e-4\text{ }✖`

So option A is not the answer.

B) We evaluate the function from point B at x = 1, we get:

`g(1)=-2\cdot1+2=0\\e-4\text{ }✖`

So option B is not the answer.

D) We evaluate the function from point D at x = 5, we get:

`g(5)=-3\cdot5+16=-15+16=1\\e4\text{ }✖`

So option D is not the answer.

Because the functions from options A, B and D don't describe the curve of the graph, the option left is option C.

Answer: C