Question

Let f(x) = 2x and g(x) = 2^x.

Graph the functions on the same coordinate plane.

What are the solutions to the equation f(x) = g(x) ?

Enter your answers in the boxes.

x = ______ or x = _________

Answer 1

the answer is 0

Answer 2

the x-coordinate of the solution is not 0

look at the point where the solution is, go straight down, and identify the corresponding x value

take your time

Answer 3

I would recommend reviewing how to read a point on a graph

Answer 4

-4

Answer 5

find the point(s) where the blue line and the red line cross each other

go straight down (do NOT go left or right)

then identify the x value

Answer 6

-6 and 0

Answer 7

put your finger on the point where the red line and blue line cross each other

move your finger straight down

Answer 8

1

Answer 9

good, x = 1

now repeat this process with the other point

Answer 10

x = 1 or x = 4

Answer 11

good, those are your two solutions.

Answer 12

correct ?

Answer 13

yes.

Answer 14

What is the solution to f(x) = g(x) ?

Select each correct answer.


x= −1

x = 0

x = 1

x = 2

x = 3

x = 4

x = 5

Answer 15

select each row of the table where f(x) and g(x) are equal

please look slowly and carefully before making your answer

spend at least 15 seconds on this

Answer 16

-1, 0, and 3

Answer 17

please try again

Answer 18

f(x) and g(x) have to be EQUAL

Answer 19

0 and 3

Answer 20

one more time. f(x) and g(x) must have the SAME number in the box

Answer 21

oh -3

Answer 22

good, so what x-values match with 0 and -3? look in the left column of the table

Answer 23

-1 and 0

Answer 24

0 and 2

Answer 25

good, so x = 0 and x = 2 are your solutions.

Answer 26

https://static.k12.com/nextgen_media/assets/8090411-NG_AL1_L_01_U09_Quiz_20.png

The functions f(x) = −2x + 2 and g(x) = (1/3)^x + 1 are shown in the graph.

What are the solutions to −2x + 2 = (1/3)^x + 1?

Select each correct answer.

−1

0

2

3

4

Answer 27

-1 and 3 correct me if i'm wrong

Answer 28

when you are looking for solutions you should be looking where the two lines cross each other.

Answer 29

4 and 2

Answer 30

x-values, not y-values

Answer 31

remember our rule before

pick the point

go straight down to the x-axis

select the correct x value

Answer 32

3 and 2

Answer 33

then go straight down to the x-axis ( do not go left or right )

what is the x-value you touch?

Answer 34

2

Answer 35

please move your finger down to the x-axis

Answer 36

3

Answer 37

see how we moved DOWN not left or right?

Answer 38

now, we have moved down and we are touching the x-axis

what x-value are we touching right now?

Answer 39

and 0

Answer 40

good

Answer 41

my computer acted up again

Answer 42

now we repeat the same process for the other x-value

Answer 43

3

Answer 44

put your finger on the point

go straight DOWN and do NOT go left or right.

Answer 45

what x-value do you reach?

please spend at least 15 seconds before you answer

Answer 46

0 and 4

Answer 47

step 1: put your finger on the point
step 2: go down
step 3: stop when you touch the x-axis

Answer 48

-1

Answer 49

oh there

Answer 50

good, so your answers are x = -1 and x = 0.

Answer 51

thank you so much for help and btw i know i seem much for trouble for you because see all the schools i've been to haven't been good schools and i barely knew math that much and a lot that's happened but i want to apologize for giving a hard time and not getting it right please forgive me because i wanted you to know that

Answer 52

it's fine, don't worry about it