SOLUTION: Graph each absolute value function and state its domain and range
y=|2x-3|
and
x+3=|y|
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Question 924258: Graph each absolute value function and state its domain and range
y=|2x-3|
and
x+3=|y|
Found 2 solutions by josgarithmetic, MathLover1:
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This response is not a complete answer or solution but may be helpful.
The first equation will be only positive for any values of/ or all values of x. range is The Real Numbers greater than or equal to zero. The Domain is all real numbers. The critical x value at which sharp point corner occurs is .
Your second given equation can be also expressed, . This lets you find . Take square root of both sides gives you two branches:
and ;
Finishing this,
OR .
BUT look very carefully at the original equation again.
The right member is never negative. This means for DOMAIN, .
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
find several points, make table,plot points, and graph the function
|
|.....
|.....
|.....
|.....
|.....
|.....
|.....
|.....
plot these points and graph:
domain:
(all real numbers)
range:
{ element : } (all non-negative real numbers)
2.
=> => or
=>
|
|.....
|.....=> or
|
|.....=> or
|
|.....=> or
|
|.....=> or
|
|.....=> or
|
domain:
range:
unable to determine range
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