sh3lsh
  • sh3lsh
How do find a range of a function without graphing it? I know when you have to find the domain you usually set the equation greater than 0 depending on the equation or just fill in numbers but what do you do for range?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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Mertsj
  • Mertsj
By inspecting the equation and garnering any information you can about the y values.
Mertsj
  • Mertsj
For example if the function is y=x^2, I can tell that there will never be a negative y value because x^2 is always positive unless x is 0 in which case y is 0. So I can say that the range is all positive real numbers plus 0
sh3lsh
  • sh3lsh
what about an equation like f(x)= \[(2/(7+\sqrt{x)})\]

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Mertsj
  • Mertsj
Well is the 2 positive or negative?
sh3lsh
  • sh3lsh
positive :|
Mertsj
  • Mertsj
Is the seven positive or negative?
sh3lsh
  • sh3lsh
The equation is just like how i typed it.
Mertsj
  • Mertsj
Answer my question if you want me to help you understand.
sh3lsh
  • sh3lsh
positive.
Mertsj
  • Mertsj
Is the seven positive or negative?
Mertsj
  • Mertsj
Is the square root of x positive or negative?
sh3lsh
  • sh3lsh
positive
Mertsj
  • Mertsj
so look what we have: I will draw a picture:
Mertsj
  • Mertsj
|dw:1326851598024:dw|
Mertsj
  • Mertsj
y = positive over positive plus positive.
Mertsj
  • Mertsj
Will y always be positive?
sh3lsh
  • sh3lsh
yes?
Mertsj
  • Mertsj
So the range must be all real numbers greater than 0
Mertsj
  • Mertsj
Actually we could say all real numbers greater than or equal to 2/7 because the smallest thing the square root of x can be is 0 so the fraction will always be at least 2/7
sh3lsh
  • sh3lsh
okay . I'll be practicing. Thanks.

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