Question

Steve is analyzing two linear functions, f(x) and g(x). Will they intersect?
f(x) graph of the function f of x equals x plus 1.
This is the table:
g(x)
x g(x)
1 1
2 3
3 5
Answer choices:
(a)Yes, at a point with a positive x-coordinate
(b)Yes, at a point with a negative x-coordinate
(c)Yes, at a point where x is zero
(d)No, they will not intersect

Answer 1

Try to plot these functions.

Answer 2

im confused...

Answer 3

@geerky42

Answer 4

Can you graph the line f(x) = x+1 ?

Answer 5

I dont know how

Answer 6

Think of f(x) as y. Does this help?

Answer 7

not really. I'm just so confused

Answer 8

f(x)=x+1 if x = 0 what will f(x) equal

Answer 9

f(0)?

Answer 10

f(x) =0 So if x=1 what will f(x) =?

Answer 11

f(x)=1?

Answer 12

I have attached a graph for you to use. Think of y as f(x). So we say x = 0 then f(x) = 1. Can you plot that point on the graph?

Answer 13

yes it'd be (0,1) correct?

Answer 14

Let's try that again. If x=1 and f(x) = x+1 What will f(x) be?

Answer 15

Yes(0,1) is correct. Now what will be the points when x=1?

Answer 16

(1,1) correct?

Answer 17

No that is incorrect. Look at the function. It says f(x) (which means the value of the function for(x) equals x+1. So if x=1. And our function is x+1..What will f(x) be>

Answer 18

f(x) would be 2? Right?

Answer 19

Correct so our coordinates for the value of x will be what on the graph?

Answer 20

(1,2) correct?

Answer 21

Correct..Now plot points for x=-2 and for x=4. What will the coordinates be?

Answer 22

am i still using x+1=f(x)? That just confused me...

Answer 23

(-2,2) is that correct?

Answer 24

You are still using f(x) = x+1

Answer 25

So if x= -2 what is F(x)

Answer 26

f(x)=-1 correct?

Answer 27

Yes

Answer 28

I attached something they may make it easier to understand. But now that you have the coordinates you need to plot them on the graph and draw your line

Answer 29

so they would be (-2,-1) (-1,0) (0,1) (1,2) and (2,3)

Answer 30

Very good...did you graph the line?

Answer 31

yes. on a sheet of paper.

Answer 32

Something like this?

Answer 33

yes lol disregard that ^^^^

Answer 34

The second line iw easy as they give you x and g(x). All you need to do is plot them and see where they intersect with the line you just drew.

Answer 35

they intersect when i plot (2,3) with (2,3) correct?

Answer 36

Terrific...So which is the correct answer.

Answer 37

a?

Answer 38

Winner..winner chicken dinner..good job....

Answer 39

Thank you SOOOOOO much!!!!

Answer 40

Your more than welcome