Question

Which function below has the largest slope?

Answer 1

f(x)
x | f(x)
-3| -10
-1| -7
1 |-4

Answer 2

-3 -10
-1 -7
1 -4

g(x)
g(x) over g(x) equals one half x plus 3

Answer 3

h(x)

Lance gains 1 level each time he plays his favorite video game. He started at level 10.

Answer 4

Answer choices:
A) f(x)

B) g(x)

C) h(x)

D) The functions all have the same slope

Answer 5

This question is a lot trickier to explain than I would have hoped....
Stand by... considering options on discussion ^^

Answer 6

I believe the answer is D

Answer 7

Can you explain how you got that answer? @DCjet1241

Answer 8

@DCjet1241 Giving answers is against the Code of Conduct of this site, please don't give answers
and D is not correct anyways

Answer 9

first find the slope of f(x) do you know how to do that? @_angeliquexoxo

Answer 10

Um, I think let me see if I can and ill tell you what my answer is and you tell me if its wrong or not.

Answer 11

I believe its -3? @jigglypuff314

Answer 12

That ain't gonna work, that's like guessing ^^

Slope is change in f(x) divided by change in x

Answer 13

\[slope = \frac{ rise }{ run } = \frac{ y _{2}-y _{1} }{ x _{2}-x _{1} } \]when given points (x1, y1) and (x2, y2)

Answer 14

What? @terenzreignz I didn't guess... I did something my teacher taught me but I wasn't sure if it applied to this situation.

Answer 15

Okay... you're not guessing. Point is clear ^^

So, could you show us how you arrived at -3?

Answer 16

you were close but be careful
try using the points (-3, -10) and (-1, -7)
so (-7-(-10)) / (-1-(-3)) = ?

Answer 17

is 1.5 the answer?

Answer 18

I subtracted what was in the parenthesis and then divided them by each other

Answer 19

that is the correct slope for f(x) yes :)

then find the slopes of g(x) and h(x) and compare all of them

Answer 20

Can you walk me through that too? I'm not too sure how to find the answers

Answer 21

well if you imagine g(x) = 1/2 x + 3
then compare it to the slope intercept form
y = mx + b where m = slope
what do you think the slope for g(x) would be? :)

Answer 22

1/2?

Answer 23

correct! :)

Answer 24

Which I guess could also be 1.5?

Answer 25

nuh uh 3/2 = 1.5
and 1/2 = 0.5
but 1.5 does not equal 0.5

Answer 26

I absoluty have no idea how to do the third one cause that doesn't give me like any information

Answer 27

slope = rate = how many levels per each time

Answer 28

he does 1 level each time

Answer 29

mhmm :)
so f(x) has a slope of 1.5
g(x) has a slope of 0.5
and h(x) has a slope of 1

so which is the largest slope?

Answer 30

f(x), correct?

Answer 31

correct! :) tah dah!!! xD