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FIND THE ERROR Linda and Rubio sketched a graph with the following key features. The x-intercept is 2. The y-intercept is -9. The function is positive for x > 2. As x→∞ fix) →→∞ and as x→∞. f(x) →∞. Is either graph correct based on the key features? Explain your reasoning.​

User Shirsh Shukla
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1 Answer

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24 votes

Answer:

The graph is correct based on the key features.

Explanation:

1. Find points of the graphic.

he y-intercept is -9. Hence, we already have 2 points of this graph:

(2, 0) and (0, -9).


x_1=2\\ \\x_2=0\\ \\y_1=0\\ \\y_2=-9

2. Find the slope of the graph.

Using the slope formula (
m=(y_2-y_1)/(x_2-x_1)), the slope of this graph is given by;


m=(-9-0)/(0-2)=(-9)/(-2)=4.5

3. Conclude and answer the question.

The function has a positive slope, which means that it's always increasing value as x increases. Also, if the x-intercept of the function is (2, 0), and the slope if positive, the function is positive for x > 2.

User Wspurgin
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