Question

Which of the following represents the graph of f(x) = 2x − 5?

Answer 1

graph of exponential rising up to the right, through the point 0, negative 4

graph of exponential rising up to the right, through the point 0, 6

graph of exponential rising up to the right, through the point 0, 3

graph of exponential rising up to the right, through the point 0, negative 1

Answer 2

@mathmate
@agent0smith

Answer 3

@ganeshie8

Answer 4

@hartnn

Answer 5

@welshfella

Answer 6

Hey @Photon336 do you know which one of those options represents the function?

Answer 7

f(x) = 2x-5 is a line so try to plug in the points

2(0)-5 = ?

Answer 8

-5

Answer 9

yeah, this is weird. exponential? the graph is a linear function @ganeshie8

Answer 10

is it meant to be 2^x + 1 ?

Answer 11

that would be exponential - it has the variable in the exponent

Answer 12

2^x - 5 i meant

Answer 13

Yeah, it's 2^x - 5

Answer 14

I think the graphs is \(y=2x^{-5}\)
Is that right @Kimberly_PR

Answer 15

No, it's y = 2^x -5

Answer 16

Hint: all graphs of the form y = a^x rise to the right and pass through the point (0,1) , because a^0 = 1

Answer 17

for a graph \(ab^x+k\) there is a vertical shift of k, up if k>0, and down if k<0.

Answer 18

oh - i forgot to say that a must be > 1

Answer 19

Ok so since a must be greater than 1 that eliminates options A and D, and thanks for the graph @mathmate

Answer 20

But now between b and c, which would it be?

Answer 21

They give you a point on the graph. Plug in the point into the equation and see if it's true.

Answer 22

All you have to do is plug in x=0 and see what y it gives you

Answer 23

Oh, ok, lol. Makes sense, I'll do that now

Answer 24

One gives me 7 and the other gives me one, so it would be the one that gives me one right?

Answer 25

So I think it would be C

Answer 26

@Kimberly_PR Wait!
The graph is for \(y=ab^x\).
IF you factor in y=2^x-5, then the whole graph shifts down by 5 units.

Answer 27

That is a=1, k=-5, what do you get?

Answer 28

Wait... If it goes through -5 then A would be the answer... but in that graph a isn't greater than 1 @mathmate

Answer 29

For the graph y=2^x, then a=1, b=2,and the graph passes through (0,1), right?

Answer 30

The one closest to that is graph C

Answer 31

I am sorry but I do not confirm or infirm guesses! lol
I am asking does (0,1) lie on the graph of y=2^x.

Answer 32

You can put x=0 into the equation and using 2^0=1 to find out.

Answer 33

Ok, I will

Answer 34

I got -4, and the only one that goes through -4 is A

Answer 35

How do you get -4?

Answer 36

y = 2^x - 5

when x=0, y=-4

Answer 37

^^ exactly

Answer 38

Right answer, but wrong person! lol

Answer 39

Yes, @Kimberly_PR you can go ahead and make your choice. There is enough information for you to do so.

Answer 40

Lol, I just plugged a 0 where the x was in the equation, and that is how I got -4. Thanks

Answer 41

I know you knew, but @agent0smith beat you to it! lol

Answer 42

lol she had it before i did @mathmate

Answer 43

Yeah, lol. I was about to write it too XD but thanks again to all of you :)

Answer 44

Sure! we all had a good time at this party! lol