Question

Somebody please help me!!! Will fan and medal! I have been here for 20 minutes and never received any help!

The table below represents a linear function f(x) and the equation represents a function g(x):

x f(x) g(x)
-1 -5 g(x) = 4x + 3
0 -1
1 3

Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

Part B: Which function has a greater y-intercept? Justify your answer.

Answer 1

part B is simple, what value of x do we need to find any point on the y axis?

Answer 2

that sentence is bad lol .... what value of x do we need in order to determine any point on the y axis;

Answer 3

Oh god, I don't know. I am usually good with functions but today I'm so confused...

Answer 4

to find the slope you have to do y2-y1/x2-x1

Answer 5

you do agree that the x axis is numbered, positive xs values to the right, and negative to the left of the y axis, correct?

Answer 6

the y axis actually intercepts the x axis at the value x=??

Answer 7

I only got the explaination for g(x) = 4x + 3
it's

x f(x)
-1 -5
0 -1
1 3

That is what I need help with...

Answer 8

find g(-1), g(0), and g(1) to fill in your table

Answer 9

g(-1) = 4x + 3
4 * -1 = -4
-4 + 3 = -1

Answer 10

0=x1
-1=x2
-1=y1
-5=y2

Answer 11

good, g(-1) = 4(-1)+3 = -1 is correct for that one

Answer 12

so -5-(-1)/-1-0 will be your slope for f(x)

Answer 13

g(0) = 4x + 3
4 * 0 = 0
0 + 3 = 3

Answer 14

youre doing fine

Answer 15

y=mx+b
m=slope
g(x)=4x+3
what is the slope for g(x)

Answer 16

g(1) = 4x + 3
4 * 1 = 4
4 + 3 = 7

Answer 17

very good

Answer 18

I already got the explanation for g(x)


Functions like f(x), g(x), etc. are equal to y.

g(x) = 4x + 3

y = 4x + 3
y = mx + b m = slope b = y-intercept

m = 4 b = 3

The slope of the equation g(x) = 4x + 3 is 4.

Answer 19

ok, so do you know the slope for f(x)

Answer 20

since the y axis crosses the x axis at x=0; the y intercept of any function will be deterined when x=0

Answer 21

nope, that is what i am trying to figure out...

Answer 22

to find the slope you have to do y2-y1/x2-x1
0=x1
-1=x2
-1=y1
-5=y2
so -5-(-1)/-1-0 will be your slope for f(x)

Answer 23

its not stated to clearly, but a function like f(x) is an object that can be measured by comparing its distance and direction from the x axis at a given value of x. the function, if it has a y intercept, will cross over the y axis when x=0

Answer 24

wait don't you mean y^2 - y^1/x^2 - x^1

Answer 25

no, subscripts are not exponents

Answer 26

no

Answer 27

oh ok, lol sorry,

Answer 28

\[\frac{ y _{2} -y _{1}}{ x _{2} -x _{1}}\]

Answer 29

I know that this may not be correct but I got 4.5 .....

Answer 30

-5-(-1)=-5+1=??

Answer 31

-4

Answer 32

-1-0=??

Answer 33

-1

Answer 34

-4/-1=??

Answer 35

4

Answer 36

so your slope for f(x) is 4

Answer 37

Okay, thanks.. Sorry it's just the the lesson did a terrible job of explaining...

Answer 38

wait, what about (1,3)

Answer 39

its ok :)

Answer 40

you don't need to use it

Answer 41

you only need two coordinates to find slope

Answer 42

Ok,

Answer 43

so now you need to find the y intercept of f(x)

Answer 44

y=mx+b
b=y intercept

Answer 45

we know that so far your equation looks like:
y=4x+b

Answer 46

y = 4x + b (let's use -5 maybe?)
y = 4x + -5
4 * -1 = -4
-4 + (-5) = -9

Answer 47

no we don't plug anything in for b

Answer 48

lets use coordinate (1,3)

Answer 49

1=x and 3=y so the equation would look like:
3=4(1)+b

Answer 50

oh ok

Answer 51

get b by itself and that will by your y intercept for f(x)

Answer 52

y = mx + b
y = 4x + b
4 * 1 = 4
4 + 3 = 7