Question

Determine the points of intersection of the given functions. y = –x2 + 3x + 20 y = –2x + 15 Describe the features of the graphing calculator you would choose and why.

Answer 1

After you type in your equations and hit graph you notice that, if you are in the standard window, your parabola is cut off so you have to choose your "window" button to change the viewing window to see the whole graph. Then you would use your 2nd button and "trace" and "intersect" to find the points of intersection of the 2 graphs. The first point is at (-.90901, 16.81812) and the second point is at (5.9090909, 3.1818182). Graphing calculators are quite amazing!

Answer 2

The point of intersection is (-0.854,16.708) and (5.854,3.292).

It is required to find the points of intersection.

What is function?

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given that:

The given function are

y = –x^2 + 3x + 20  and  y = –2x + 15.

Graphing calculators can do all of the calculations of a scientific calculator, plus graph equations, make function tables and solve equations. It is capable of plotting graphs, solving simultaneous equations, and performing other tasks with variables.

By the use of graphing calculator point of intersection is

(-0.854,16.708) and (5.854,3.292).

so, the point of intersection is (-0.854,16.708) and (5.854,3.292).

Learn more about function here:

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