Question

The graph shows the functions f(x), p(x), and g(x):

Graph of function g of x is y is equal to 1.8 to the power of x. The straight line f of x joins ordered pairs 6, 2 and 2, minus 2 and is extended on both sides. The straight line p of x joins the ordered pairs 3, 6 and 6, 2 and is extended on both sides.

Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points)

Part B: Write any two solutions for f(x). (3 points)

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer. (4 points)

Answer 1

@Compassionate @Hero @iambatman

Answer 2

@confluxepic

Answer 3

im realllllllllly stuck on this dont even no were to begin and have more if you could help.

Answer 4

not at all.

Answer 5

@phi

Answer 6

g of x is y is equal to 1.8 to the power of x.
\[ g(x) = y = 1.8^x \]

Answer 7

i need part a for right now.

Answer 8

what part are you telling me @phi

Answer 9

oh, I was starting with the first line. But g(x) is not used in part A.

Answer 10

im very confused.

Answer 11

For f(x), I would write down the two points, and then find the slope between them
can you do that ?

Answer 12

f of x joins ordered pairs 6, 2 and 2, minus 2
f(x) connects (6,2) and (2,-2)
what is the slope ? (i.e. change in y divided by change in x ? )

Answer 13

can you explain which part your doing like part a = blah blah blah blah that way?

Answer 14

i dont even know what the points are for f(x)

Answer 15

Part A: What is the solution to the pair of equations represented by p(x) and f(x)?

to answer, we first need to find the equations.
I am starting with finding f(x)

Answer 16

they tell you the points, and I typed them in the post up above.

Answer 17

the points are (6,2)

Answer 18

hmmmmm....

Answer 19

f of x joins ordered pairs 6, 2 and 2, minus 2
f(x) connects (6,2) and (2,-2)
what is the slope ? (i.e. change in y divided by change in x ? )

Answer 20

i dont know how to do slope

Answer 21

need major help

Answer 22

do you know how to find the y value from the (x,y) pair ?
what is the y value of (6,2) ?

Answer 23

i dont really know anything

Answer 24

its 2

Answer 25

and the y value of the other point ?

Answer 26

-2

Answer 27

now find the difference in y (i.e. subtract first minus second)

Answer 28

4

Answer 29

2 - -2 = 2+2 = 4
that is the change in y

can you now find the change in x ? same idea, but use the x-values

Answer 30

so 6-2

Answer 31

that equals 4

Answer 32

yes. now remember slope is "change in y" divided by change in x
(say that 3 times to yourself)
and then find the slope for these points

Answer 33

how

Answer 34

you found the numbers, now divide them

Answer 35

this is all i have so far part a= f(x) points are 6,2 and p(x)= 2,-2
then 2-(-2 =4, 6-2=4
part b=
part c=

Answer 36

so i divide 4 and 4 that equals 1

Answer 37

yes. and we have not gotten to p(x). so you should write it more as I posted it up above.
f(x) is a line with point (6,2) and (2,-2)

Answer 38

what im so confuse4d.

Answer 39

please tell me what should be for part a im screwing everything up because thats what i got out of your stuff.

Answer 40

They tell us f(x) is a line, that goes through those 2 points.

Answer 41

what all should be up for part a. like if this was your question that your answering what all would you have right now.

Answer 42

like right it as part a = blah blah blah please im very lost.

Answer 43

How about this. The first is simplify the words.
The straight line f of x joins ordered pairs 6, 2 and 2, minus 2 and is extended on both sides.
f(x) is a line with points (6,2) and (2,-2)

The straight line p of x joins the ordered pairs 3, 6 and 6, 2 and is extended on both sides.

write this as
p(x) is a line with points (3,6) and (6,2)

ok so far ?

Answer 44

so thats what youd write for part a

Answer 45

the solution is the point that is on both lines. In this problem, they tell us a point that is on both lines, so that is the answer.

Answer 46

part a= f(x)=(6,2) and (2,-2)
p(x)= (3,6) and (6,2)

Answer 47

correct.

Answer 48

but its asking for the solltuions

Answer 49

@phi

Answer 50

@Hero