Question

In the graphing tool, choose the custom option in the Relationship menu to graph the functions f(x) = x3 + 3 and g(x) = x2 + 2. Adjust the zoom level of the graph so you can see the point where the two graphed functions intersect. Then, left-click on the point where the functions intersect. The values of the point you click on, rounded to the nearest hundredth, will appear for about 2 seconds. Note: If you’re not using a mouse (or a mouse with left-click ability), perform the equivalent zoom-in action on your device to see the intersection point values rounded to the nearest hundredth. Then, approximate (to the nearest hundredth) the solution of f(x) = g(x) from part A of this question.

Answer 1

(-0.76, 2.57)

Explanation:

The given functions are

`f(x)=x^(3)+3\\ g(x)=x^(2) +2`

If we wanna find
`f(x)=g(x)` we can just graph and see such point, or we can do some algebra to find it. This problem, specifically, asks an answer using a graphic method. The graph with both functions is attached.

You can see that the interception point is (-0.755, 2.57), which rounded to the nearest hundred is (-0.76, 2.57). At this point the functions are equal (
`f(x)=g(x)`), that's what an interception means.

We obtained this point by just left-clicking on the interception point, as the problem indicates.

Answer 2

Final answer is x= -0.76 and y=2.57.

Explanation:

We have been given two functions
`f(x)=x^3+3` and

`g(x)=x^2+2`

Now question says to graph the given functions
`f(x)=x^3+3` and

`g(x)=x^2+2` using some graphing tool. Then zoom as per requirement so that you can see the intersection point and read that point from graph which should be correct up to hundredth decimal place.

I'm using Desmos graphing calculator. Just type both functions then it will create graph for you. Click on intersection point as you can see in the attached picture. They intersect at point (-0.755,2.57).

Hence final answer is x=-0.76 and y=2.57.