Question

Topic: Exponential & Logarithmic functions
Sketch the graph of

Answer 1

\[a) y=2^{x}\]

Answer 2

sorry not really that good at math :/

Answer 3

@ARMYRANGERS

Answer 4

Can u teach me how to sketch such graph
Is there any formula

Answer 5

Yes

Answer 6

If you want to qualitatively just check nature of the function

Answer 7

So here you see as you increase x, y is also increased. At x = - infinite y goes to zero. At x = 0, y is 1 and at x = + infinite, y also goes to infinite.

Answer 8

If the function may have local minima or maxima, you also need slope of this function at some points to plot it.

Answer 9

Does that help ?

Answer 10

yes
nxt question:
y=-2^x

Answer 11

If I put x = 0 what will be y ?

Answer 12

-1

Answer 13

I know hw to sketch that

Answer 14

Great! Now check if the function is ever increasing or decreasing ?

Answer 15

decreasing

Answer 16

What if x =+ infinite and x = -infinite ?

Answer 17

I'm nt sure. Can u explain..

Answer 18

it goes down
is it so

Answer 19

When x = + infinite, y = - infinite

Answer 20

When x = - infinite, y goes to -0. Right ?

Answer 21

I think it will be easier for me to understand if u sketch...

Answer 22

Can you show what you think it should be? If you don't get it write, I'll draw it for you.

Answer 23

@eric_d ?

Answer 24

when x= - infinite, y can be positive too rite

Answer 25

Nope! It is -2^x ! If x goes to -infinite, 2^x will go to zero, so -2^x will go to -0. That means y will never cross 0. It will always be less than 0.

Answer 26

okay

Answer 27

There are a few more question
Can u help me...

Answer 28

Show me the graph. Then we'll move to next question. :)

Answer 29

ok