F(x) = x
f(x) = x^2
f(x) = 2^x
1) which functions intersect?
2) how many points of intersection are there?
3) what does a point of intersection mean?

Part 1) In the procedure

Part 2) There are 4 points of intersection (see the procedure)

Part 3) The answer in the procedure

Step-by-step explanation:

we have

-----> linear function

----> quadratic function

----> exponential function

Part 1) Which functions intersect?

using a graphing tool

we have that

intersect with

intersect with and

intersect with

see the attached figure

Part 2) How many points of intersection are there?

In total there are 4 points of intersection

so

Between

and

there are 2 points -----> (0,0) and (1,1)

Between

and

there are 2 points -----> (-0.77,0.59) and (2,4)

Part 3) What does a point of intersection mean?

we know that

A point of intersection between two functions means a common solution for both functions.

so

Example 1

The point (0,0) is a point of intersection between and

For x=0

Find the value of both functions

----->

---->

Both functions have the same value

Example 2

The point (2,4) is a point of intersection between and

For x=2

Find the value of both functions

----->

---->

Both functions have the same value

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

this is not the answer this is just a question. is this middle school math?

step-by-step explanation: