Question

Graphing Will award medal !

Answer 1

@Nnesha @Compassionate @robtobey Help please :)

Answer 2

I really need help

Answer 3

@jim_thompson5910 Help please !:)

Answer 4

@amistre64 Can you help me please :)

Answer 5

focus on each piece individually

Answer 6

is y = 2-x continuous?

Answer 7

Yes

Answer 8

how about y = x^2 ?

Answer 9

No , its a parabola right

Answer 10

@jim_thompson5910

Answer 11

why wouldn't it be continuous?

Answer 12

all parabolas are continuous

Answer 13

Okay

Answer 14

how about the last piece?

Answer 15

Yes it is

Answer 16

now focus on each junction

Answer 17

let's say we have these three functions

f(x) = 2-x
g(x) = x^2
h(x) = 6+x

Answer 18

when the first 2 pieces connect, f and g, they connect at the junction x = -2 if and only if f(-2) = g(-2)

Answer 19

what are f(-2) and g(-2) ?

Answer 20

The function ?

Answer 21

f(-2) = ??

Answer 22

f(-2) = 2-(-2)

Answer 23

simplify that

Answer 24

f(-2)=4

Answer 25

what is g(-2)

Answer 26

what is it equal to

Answer 27

g(-2)=4

Answer 28

so that proves the two functions f(x) and g(x) connect at x = -2

Answer 29

here is visual proof of that

Answer 30

Okay so now i find the range of that

Answer 31

What about the third function

Answer 32

you have to determine if the second piece (g(x)) connects to the third piece (h(x))

Answer 33

use the same basic idea you used before (when you showed how f(x) and g(x) connect)

Answer 34

so h(-2)=4

Answer 35

we're not at x = -2 anymore

Answer 36

notice how the junction between g(x) and h(x) is at x = 3

Answer 37

I'll be right back

Answer 38

Wait this expires in like half an hour please

Answer 39

My assignmet expires soon

Answer 40

h(3)=9

Answer 41

h(3)=9

Answer 42

Is that right

Answer 43

h(3) = 9, yes

Answer 44

g(3) = ???

Answer 45

g(3)=9

Answer 46

so that proves g(x) and h(x) connect at x = 3

Answer 47

This graph shows the graph is continuous everywhere

Answer 48

Okay I see so now do we find the range or

Answer 49

we don't need to find the range

Answer 50

they don't ask for that

Answer 51

Oh ok well how do i put this in set notation?

Answer 52

they want the answer in interval notation

Answer 53

Yeah its in the attachment

Answer 54

how do we say "the set of all real numbers" in interval notation?

Answer 55

(- infinity , infinity)

Answer 56

that's your answer

Answer 57

YES IT WAS RIGHT THANK YOU SO MUCH FOR ALL YOUR HELP !! :D

Answer 58

np