Question

Use the given values of x to graph each function. Use the graph to determine the domain and range of the function.
1. ; x = -3, -2, -1, 0, 1, 2, 3
Ok I got 6 similar probs so who wants to show me how to do them?

Answer 1

@jim_thompson5910 @kirbykirby

Answer 2

plz

Answer 3

f(x)=x^2+1; x=-3,-2,-1,0,1,2,3
I need to graph it and then determine the range and domain

Answer 4

where do i start?

Answer 5

if x = -3, then

f(x) = x^2 + 1

f(-3) = (-3)^2 + 1

f(-3) = ??

Answer 6

f(-3)=10

Answer 7

ok so how do I graph that?

Answer 8

this means that the point (-3, 10) is on the graph

Answer 9

when x = -2, f(-2) = ??

Answer 10

ooooooooooo

Answer 11

yeah you're just generating a bunch of points, plotting them, then drawing a curve through them

Answer 12

coolio u r awesome!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 13

the more points, the more accurate the graph is, glad it's clicking now

Answer 14

yes very much ty so much!!!!!!!!!!!!

Answer 15

yw

Answer 16

wait @jim_thompson5910 how do I find the domain and range?

Answer 17

can you think of any number you can plug in for x, but it won't be defined for f(x)?

Answer 18

no

Answer 19

since any real number works for x, and it produces some number f(x), this means that the domain is the set of all real numbers

Answer 20

o, what about the range?

Answer 21

did you graph x^2 + 1

Answer 22

no

Answer 23

go ahead and do so

Answer 24

so graph all 7 points?

Answer 25

yes, then draw a curve through all of them

Answer 26

ok just a minute

Answer 27

ok

Answer 28

Ok so I drew them and now i have a curve

Answer 29

what is the lowest point

Answer 30

you should have graphed a U shaped curve

Answer 31

yup, 0,1 is the lowest point

Answer 32

so the range is the set of all y values greater than or equal to 1

since y = 1 is the smallest y value possible

Answer 33

so range=1?

Answer 34

no the range is a set of numbers, not just 1 (it includes 1 though)

Answer 35

y = 2, y = 3, ... are part of the range as well

Answer 36

o range = =>1?

Answer 37

y >= 1 yes

Answer 38

ok and y=range

Answer 39

that basically tells me that any value larger (or equal to) 1 will work for the range

Answer 40

yeah

Answer 41

y values on the graph

y values for the points on the graph

Answer 42

:) ty!!!!!!!!

Answer 43

np

Answer 44

u r awesome!!!!!!!!!!!!!!!!!!!!!!

Answer 45

thanks