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

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.