anonymous
  • anonymous
Graph this function
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
Graph y=-2^x+1+3. Then find the domain and range
anonymous
  • anonymous
It's a log graph I'm assuming
anonymous
  • anonymous
Nvm! I graphed it. I just need the domain/range

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Zale101
  • Zale101
Are you familiar with what the parent function look like?
anonymous
  • anonymous
yes
Zale101
  • Zale101
What is it?
anonymous
  • anonymous
y=2^x
Zale101
  • Zale101
Can you graph it? ^_^ |dw:1439768317409:dw|
anonymous
  • anonymous
|dw:1439768384517:dw|
Zale101
  • Zale101
|dw:1439768409796:dw| Good! :)
Zale101
  • Zale101
What happens when the function 2^x is multiplied by negative 1 (-1)?
anonymous
  • anonymous
I still don't know how to find the range of the function I posted?
Zale101
  • Zale101
and what happened when the function is added by 4? Does it shift up or down?
Zale101
  • Zale101
From the graph you drew, what is the range and domain? Any guesses?
Zale101
  • Zale101
Hint: The domain is where the function passes the x-values The range is where the function passes the y-values. Is there any restriction with the domain or range in this graph?
anonymous
  • anonymous
d=all real numbers
Zale101
  • Zale101
Perfect!
Zale101
  • Zale101
What about the range?
anonymous
  • anonymous
hmmm...I dont know.
anonymous
  • anonymous
y>3
anonymous
  • anonymous
Am I wrong?
Zale101
  • Zale101
The range is all real numbers except y=0. This is the range for the function y=2^x, not for y=2^x+4 (the function you were given).
Zale101
  • Zale101
Correction: y=-2^x+4
Zale101
  • Zale101
Now. From the graph you were given. Are there any vertical shifts?
Zale101
  • Zale101
And does the graph flip ?
anonymous
  • anonymous
not from what i can see
anonymous
  • anonymous
http://fooplot.com/#W3sidHlwZSI6MCwiZXEiOiItMl54KzErMyIsImNvbG9yIjoiIzAwMDAwMCJ9LHsidHlwZSI6MTAwMH1d
Zale101
  • Zale101
From the graph you've shown me. Did it flip and vertically shifted compared to the parent function you drew: y=2^x?
anonymous
  • anonymous
yes
Zale101
  • Zale101
Yes. What is the range?|dw:1439769088312:dw|
anonymous
  • anonymous
All real #'s except zero, right?
Zale101
  • Zale101
But doesn't the graph pass y=0?
Zale101
  • Zale101
|dw:1439769189544:dw|
anonymous
  • anonymous
y>4
anonymous
  • anonymous
is that right y>4 or would it be y<=4
Zale101
  • Zale101
Y<4
Zale101
  • Zale101
|dw:1439769305120:dw|
Zale101
  • Zale101
As you can see from the graph, it passes all the y-values below 4. And all the y values below 4 are less than y. So y<4.
anonymous
  • anonymous
yay! Thanks so much :)
Zale101
  • Zale101
No problem!

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