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How do you find the domain and range for #y= -2x+3, x>0#?

Answer 1

Domain: #(0, +oo)#
Range: #(-oo, 3)#

The problem actually gives you the domain of the function as being described by #x>0#.

More specifically, the domain of the functioncannot include negative values of #x#, as well as #x=0#.

This means that the domain of the function will be #(0,+oo)#.

Now for the range of the function. SInce #x# is always positive, the term #-2x# will always be negative. You can find the range of the function by using #x=0# to find the maximum value #f(x)# cannot take

#f(0) = -2 * 0 + 3 = 3#

This means that the function's range will be #(-oo, 3)#, since #f(x)# will produce a value smaller than #3# for any #x# belonging to the #(0, +oo)# domain.

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Answer 2

Hazel Anglin

Domain: ( x > 0 ) Range: All real numbers ( y )

Explanation: The domain is restricted to ( x > 0 ), indicating that the function is only defined for positive values of ( x ). The range is not restricted, so ( y ) can take any real value.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

How do you find the domain and range for #y= -2x+3, x&gt;0#?

How do you find the domain and range for #y= -2x+3, x>0#?