Question

Help mee D:
The graphs of four exponential functions are shown below.

graph of 4 exponential curves Curve P joins the ordered pairs negative 3.2, 20 and 0, 2 and 4, 0. Curve Q joins ordered pairs negative 2, 20 and 0, 5 and 6, 0. Curve R joins the ordered pairs negative 2, 0 and 0, 0.5 and 2.2, 20. Curve S joins the ordered pairs negative 2, 0 and 0, 0.5 and 3, 20

Which pair of graphs should be plotted to show the solution to 5(1 over 2)x = 1 over 2(5)x

Answer 1

@jim_thompson5910 Can you please help?

Answer 2

do you have a graphing calculator?

Answer 3

No, i dont

Answer 4

ok, are you able to download and install programs?

if so, I recommend you get geogebra

Answer 5

\[5\left (\frac{1}{2}\right)^x=?\]

Answer 6

Okay o. o I'll try

Answer 7

i can't read the right hand side, but the graph of
\[5\left (\frac{1}{2}\right)^2\] is the one that is decreasing and crosses the \(y\) axis at \((0,5)\)

Answer 8

in other words, it is Q

Answer 9

but i can't read what you wrote on the right hand side of the equal sign

Answer 10

maybe
\[\left(\frac{1}{2}\right)^{5x}\]? just guessing

Answer 11

it might be

\[\Large \frac{1}{2}(5)^x\]

Answer 12

@BreathlessReaper see if you can use the equation editor to write the right hand side of the equal sign
neither @jim_thompson5910 nor i can read it

Answer 13

@jim_thompson5910 Okay I downloaded Geogebra

Answer 14

is it installed and ready to go?

Answer 15

Yes

Answer 16

ok go ahead and open the program

Answer 17

you'll see a blank xy axis to start

Answer 18

at the bottom should be an input bar

Answer 19

To graph

\[\Large y = 5\left (\frac{1}{2}\right)^x\]

you type the following into the input bar

y = 5*(1/2)^x

Answer 20

btw the solution should be, i think you said you couldnt see it before?
\[5(\frac{ 1 }{ 2 })^{x}=\frac{ 1 }{ 2 }(5)^{x}\]

Answer 21

thanks, that helps

Answer 22

okay, I typed it in

Answer 23

to graph

\[\Large \frac{ 1 }{ 2 }(5)^{x}\]

type in

y = (1/2)*(5)^x

Answer 24

Okay.

Answer 25

you should see 2 curves

Answer 26

yes

Answer 27

sorry I meant to ask about the first curve

what is the y intercept of y = 5(1/2)^x

Answer 28

Im not sure o.o

Answer 29

do you see the "algebra" tab to the left of the graph?

Answer 30

yes

Answer 31

what do you see in the algebra tab?

Answer 32

The two functions, thats it.

Answer 33

ok, if you hover your mouse over any equation in the algebra tab, the corresponding graph will light up (or get darker) to show you which graph corresponds to which equation

Answer 34

yes

Answer 35

so do you see which graph is linked to y = 5(1/2)^x

Answer 36

so the first one has a Y intercept of 5?

Answer 37

good

Answer 38

as satellite73 pointed out, the graph of y = 5*(1/2)^x will be graph Q because the y intercept is (0,5)

Q is the only graph with a y-intercept of (0,5)

Answer 39

what is the possible graph of y = (1/2)*(5)^x ? Is it graph P? graph R? or graph S?

Answer 40

R or S

Answer 41

So it has to be Q and R?

Answer 42

@jim_thompson5910

Answer 43

it's definitely not P because the other graph slopes upward

Answer 44

notice how the point (2,4) is on point S

is the point (2,4) on the graph of y = (1/2)*(5)^x ?

Answer 45

I get it now c: Thank you :DDD

Answer 46

you're welcome