1. ## Are my answers correct?

State Domain and range

1. y=(x+1)^2 -3
2. y=x^3
3. y= √x
4. y=e^x
5. y=ln x
6. y= 1/x-2
7. y= |x+1|

1. Domain: All real numbers
Range: y>-3

2. Domain: All reall numbers
Range: y >0

3. Domain: x>0
Range: all real numbers

4. Domain: All real numbers
Range: y> 0

5.
Domain: All real numbers
Range: y> 0

6. Domain: x>2
Range: All real numbers

7. Domain: x>1
Range: All real number

2. Originally Posted by yitsongg
State Domain and range

1. y=(x+1)^2 -3
2. y=x^3
3. y= √x
4. y=e^x
5. y=ln x
6. y= 1/x-2
7. y= |x+1|

1. Domain: All real numbers yes
Range: y>-3 y > -3

2. Domain: All reall numbers yes
Range: y >0 no

3. Domain: x>0 x > 0
Range: all real numbers no

4. Domain: All real numbers yes
Range: y> 0 yes

5.
Domain: All real numbers no
Range: y> 0 no

6. Domain: x>2 if you meant 1/(x-2) , all reals except x = 2
Range: All real numbers no

7. Domain: x>1 all reals
Range: All real number no

...

3. 2. Range all real
3. Range x > 0
5.
Domain: x > 0
6. Range negative infiniti to infiniti
7. Range
x>1

4. Originally Posted by yitsongg
2. Range all real
3. Range x > 0 y > 0
5.
Domain: x > 0 x > 0
6. Range negative infiniti to infiniti y does not equal 0
7. Range
x>1 no
...

5. 5. range y> 0
7. range y>1

6. Originally Posted by yitsongg
5. range y> 0
7. range y>1
looks like you're just guessing ... sorry, still incorrect.

I recommend you graph the functions and see the domain/range yourself.

7. 5. range y> 0 to infinity, if this answers wrong my other answer y > 0
7.
y > 1
Range

8. y = ln(x)

y = |x+1|

9. Got it

5. Range all real numbers
7. All reall numbers for range

10. Originally Posted by yitsongg
Got it

5. Range all real numbers ok
7. All reall numbers for range domain is all reals, range is y > 0
...