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sh3lsh
 4 years ago
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?
sh3lsh
 4 years ago
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?

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Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1By inspecting the equation and garnering any information you can about the y values.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1For 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
 4 years ago
Best ResponseYou've already chosen the best response.0what about an equation like f(x)= \[(2/(7+\sqrt{x)})\]

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Well is the 2 positive or negative?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Is the seven positive or negative?

sh3lsh
 4 years ago
Best ResponseYou've already chosen the best response.0The equation is just like how i typed it.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Answer my question if you want me to help you understand.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Is the seven positive or negative?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Is the square root of x positive or negative?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1so look what we have: I will draw a picture:

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1y = positive over positive plus positive.

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Will y always be positive?

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1So the range must be all real numbers greater than 0

Mertsj
 4 years ago
Best ResponseYou've already chosen the best response.1Actually 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
 4 years ago
Best ResponseYou've already chosen the best response.0okay . I'll be practicing. Thanks.
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