Question

f(x)=1/2(x=3) find domain and sketch the graph

Answer 1

\[f(x)=\frac{ 1 }{ 2(x -3) }\]Is this the correct equation or is it\[f(x)=\frac{ 1 }{ 2 }(x -3)\]Before I help, I need to know which one it is because it's not very clear from your presentation of the equation.

Answer 2

2nd one

Answer 3

OK, so then what type of of function is\[f(x)=\frac{ 1 }{ 2 }(x -3)\]
a). linear
b). quadratic
c). reciprocal
d). cubic

Answer 4

linear ? ? i guess

Answer 5

I'm going to teach you, not just give you the answers, so could you please answer my question? If you don't know the answer and you need a hint or help, then just say so.

Answer 6

Yes, it is linear. Good!

Answer 7

thanks man

Answer 8

Now can you tell me what you know about linear functions?

Answer 9

cant recall. :(

Answer 10

Can you tell me the name of the graph of a linear function?

Answer 11

i dont know

Answer 12

Look at the word linear. What other word do you see within the word "LINEAR".

Answer 13

near?

Answer 14

straight line ???

Answer 15

Yes, LINE! Good!

Answer 16

Have you ever seen or heard of the slope-intercept form of the equation of a line?

Answer 17

nope

Answer 18

is this the answer?

Answer 19

A linear function is a first degree polynomial function. First degree because the highest power (exponent) of x is one. The graph of a linear function is a straight line. The equation of a diagonal (oblique) line in slope-intercept form is given by\[y =mx +b\]where m is the slope (ratio of rise to run) of the line and b is the y-intercept of the line.

Answer 20

Your diagram is flawed.

Answer 21

we dont use slope

Answer 22

Do you use the word gradient?

Answer 23

this answer is suppose to be really simple and straight forward..

Answer 24

yes

Answer 25

Yes but do you just want me to answer your question, or would you like to learn something here that will also help you later?

Answer 26

thats good that you teach me. well problem is i dont know wether it is correct. Our teacher said by using function f(0) we findo out two points and then by solving the equation of 1/2((x-3)

Answer 27

I did how he said but using slope will be easy

Answer 28

OK fine, do you know the significance of f(0)?

Answer 29

Do you know what f(x) means?

Answer 30

then subsitute x to the functiomn so it will be 1/2(0+3)

Answer 31

so it is 3/2 as ans

Answer 32

tht means x=) and y=1.5

Answer 33

srry x=0

Answer 34

Yes, f(0) means you substitute x = 0 into the equation, but what does that mean when you find f(0)?

Answer 35

Yes it is 3/2 = 1.5 but what does that mean?

Answer 36

that y=1.5

Answer 37

f(0) = 3/2 = 1.5 but what does it mean?

Answer 38

when x is 0 the y point lies on 1.5

Answer 39

Does it mean that you found

a). the slope
b) the y-intercept of the line
c). the x-intercept of the line
d). an arbitrary point

Please provide the best response.

Answer 40

y intercept

Answer 41

Correct! Good!

Answer 42

Now how do you find the x-intercept?

Answer 43

yes x=-3

Answer 44

by solving x+3/2=0

Answer 45

Does it? Are you sure? Is that your final answer?

Answer 46

so it is x intercept and we founf y intercept with two points and then we will draw a straight line

Answer 47

But you still didn't tell me what your final response for the x-intercept is.

Answer 48

thank you

Answer 49

No we're not done yet.

Answer 50

ahh i have to go now

Answer 51

how about later but still i dnt know what i missed

Answer 52

You still haven't found the domain yet.

Answer 53

ahh i think all number is real

Answer 54

And your graph was wrong.

Answer 55

Yes, The domain is all real numbers for x. But your graph is still wrong. Do you know why?

Answer 56

im trying

Answer 57

correct right

Answer 58

Ask yourself if you plotted the x-int: (3, 0) and the y-int: (0, -1.5) correctly. By the way, the x-int is at (3, 0) and NOT (-3, 0). Also I was wrong to say that your y-int was correct because it is NOT. The y-int is at (0, -1.5) NOT (0, 1.5). Do you understand?

Answer 59

Plot the graph again.

Answer 60

ahh ok so if it is x interxept y=0 and y intercept x=0

Answer 61

Eureka!

Answer 62

Excellent! So now could you please plot the graph again?