Help Please !!!!!!!
Can someone please check my work.. I dont know how find x/ y intercepts. I need help sketching it
I have atatched my work in an image . :)

- marcelie

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- Astrophysics

To find x - intercept, simply let y = 0 and solve for x.
To find y - intercept, simply let x = 0 and solve for y.
Sure, upload the image.

- marcelie

okay. im about to uplaod image

- marcelie

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## More answers

- Astrophysics

Almost right, looking at the x - intercept, first thing, you don't have to put base e when you put "ln" that already means it's to base e. Also, your last step is wrong, you're dividing by -1 when you should just subtract by -1 on both sides so you have \[x=e^{-6}-1 \implies \frac{ 1 }{ e^6 }-1\], your y - intercept is correct though, so good work.

- marcelie

oh okay. so for the x int is there a way to solve by hand . i solved it by the calculator

- Astrophysics

No, just leave it as it is, your teachers don't expect you to do know it as decimal form

- marcelie

oh okay. about the y intercept is there a way to solve it by hand ?

- Astrophysics

I don't really know what you mean

- Astrophysics

the y - intercept is -3

- marcelie

oh bc i want to solve the equation by hand for y= -1/2 ln (0+1) -3 inorder find the y int .

- Astrophysics

You already solved it for the y - intercept, you got y = 3

- Astrophysics

y=-3*

- Astrophysics

You already solved both x and y intercepts, that's what your work showed..

- Astrophysics

You just had made an error while you solved the x - intercept which I fixed for you

- marcelie

yes i solved it by using the calculator. but is there a way to solve it by hand instead of using the calculator

- Astrophysics

You mean the algebra...?

- Astrophysics

You should be doing that by hand

- marcelie

yes. that was my question. how do i solve it by hand bc i have trouble

- Astrophysics

Those are the steps you use to solve it by hand

- marcelie

yes that was for the x intercpt. but im asking how do i solve the y int by hand ?

- marcelie

|dw:1443849411183:dw|

- Astrophysics

Ah haha

- marcelie

yes lolz

- Astrophysics

set x = 0, and note ln(1) = 0

- Astrophysics

it's that simple

- Astrophysics

if you look at the graph, ln(1) = 0

- marcelie

so any thing to the 1 for ln is always 0 ?

- Astrophysics

just ln(1) = 0

- marcelie

oh so i just plug it into the calculator then when its ln ?

- Astrophysics

|dw:1443849650346:dw|

- Astrophysics

You don't need a calculator!

- Astrophysics

You should know that ln(1) = 0

- marcelie

ah okay. i barely started learning the logs yesterday z

- Astrophysics

Ah ok

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