Question

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.​

Answer 1

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.