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Question:

Which function produces the graph provided?

A $9482_w201_h20.png$
Explaination

Use the critical points shown in the graph to eliminate possible answer choices. Right away you can notice that the y-intercept of the function is (0, 2), so one of the answer choices can be eliminated. It can also be seen that the function decreases from left to right, indicating that the a coefficient must be negative, so another answer choice can be eliminated. To determine whether the answer is $9557_w201_h20.png$ or $1042_w201_h20.png$, evaluate x = 1 and determine the output:
$1348_w411_h20.png$
Test the other function as well:
$2966_w411_h20.png$
An additional point must be tested. Evaluate z(-2):
$8942_w454_h20.png$
Test the other function as well:
$8456_w505_h20.png$
and this answer can be eliminated.