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State the range of the function:
f(x)=-|x-2| for the domain -2<=x<=4.
Plz anyone answer this question.
f(x)=-|x-2| for the domain -2<=x<=4.
Plz anyone answer this question.
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Add. Maths modulus function range
- Thread starter Haris Bin Zahid
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Make a table with x and y. Then replace the limits in the equation. e.g when x=-2, y=-4 and when x=4, y=-2. Then find the value of y for the critical value( it is the value of x for which the result INSIDE the modulus symbol is zero). In this case the critical value is x=2 and hence y=0. Now the range will be from the smallest value value of y to its largest i.e -4 to 0. Now to write the range, how to know whether this value is included? Well in your domain x is less than or EQUAL to -2.Therefore its corresponding value(-4) must be included. Also as the critical value which is x=2 lies between -2 and 4, its corresponding value(0) must also be included
Hence your range will be: -4≤ y ≤0
Hence your range will be: -4≤ y ≤0
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One more thing if you have y= |3x-2| + 4, proceed in this similar way and remember that the critical value of x in this example will be 2/3 as this is the value for which the value INSIDE the modulus is zero. Don't get confused, for this example some students get confused as they think that the critical value is the value for which the entire expression is zero, but this is NOT CORRECT.