Question

Which function below has the largest slope?

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


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

h(x)

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

f(x)

g(x)

h(x)

The functions all have the same slope

Answer 1

@Hero

Answer 2

@amistre64 @wio

Answer 3

The question is unclear. It looks like multiple questions?

Answer 4

out of the three its wants to know which one has the largest slope?
These are the answer choices
f(x)
g(x)
h(x)
The functions all have the same slop

Answer 5

find slope of each function and see which one is largest

Answer 6

slope of f(x) = ?

Answer 7

f(x)

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

Answer 8

take any two points, and calculate slope using slope formula

Answer 9

can you help me on that? sorry

Answer 10

lets take first two points.

-3 -10
-1 -7

Answer 11

-3 -10
x1 y1


-1 -7
x2 y2

Answer 12

slope = change in y / change in x
= \(\large \frac{y_2-y_1}{x_2-x_1}\)

Answer 13

plugin the values

Answer 14

oh so -10 -(-7) / -1 - (-3)

Answer 15

yup !

Answer 16

simplify

Answer 17

i got -3 / 2?

Answer 18

hey wait, u switched y2 and y1, check once

Answer 19

it shud be

-7 -(-10) / -1 - (-3)

Answer 20

right ?

Answer 21

so 3/2?

Answer 22

@ganeshie8

Answer 23

yup 3/2 = 1.5
slope of f(x) = 1.5 -------------------(1)

Answer 24

next, find slope of g(x)

Answer 25

\(\large g(x) = \frac{1}{2} x + 3 \)

Answer 26

is that how g(x) looks ?

Answer 27

yes

Answer 28

u knw how to interpret slope from that equation ?

Answer 29

not to well

Answer 30

ok, y = mx+c
^

Answer 31

m is the slope

Answer 32

so 1/2 would be my slope?

Answer 33

Yes :)
1/2 = 0.5
slope of g(x) = 0.5 -------------------(2)

Answer 34

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

Answer 35

alright that makes sense

Answer 36

good :) wat about h(x) ?

Answer 37

he is gaining 1 level for 1 time he plays
so slope = 1/1 = 1

Answer 38

oh that makes sense....wow im dumb

Answer 39

its tricky, it ok yuo're very good :)

Answer 40

so slope of h(x) = 1 ---------------------(3)

Answer 41

look at (2), (2), (3) once, and make a decision

Answer 42

so it would be h(x) :)

Answer 43

careful, look at (1), (2), and (3) lol

Answer 44

but it wants the largest slope? so it would be h(x)?

Answer 45

wat about slope of f(x) ?

Answer 46

OHHHHHHH sorry

Answer 47

np :)

Answer 48

thanks for all your help :)

Answer 49

you wlcme :D