What is the domain of the function y=^3sqrt (x-1)
1 answer:
If the equation is then the domain is the set of all real numbers.
We can replace x with any real number and compute to get some real number output for y. There are no division by zero restrictions to worry about, or issues with taking a square root of a negative number (since this isn't really a square root function).
The cube root of a negative number is negative. For example, because (-4)^3 = (-4)*(-4)*(-4) = -64.
In interval notation, the domain would be written as to indicate the entire real number line.
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The equation is:
f ( - 1 ) = 4 * 1/25 = 4/25 ( false )
f ( 0 ) = 4 * 1 = 4 ( false )
f ( 1 ) = 4 * 25 = 100 ( false )
f ( 2 ) = 4 * 5 ^4 = 4 * 625 = 2500 ( correct )
Answer:
D ) ( 2, 2500 )
f ( - 1 ) = 4 * 1/25 = 4/25 ( false )
f ( 0 ) = 4 * 1 = 4 ( false )
f ( 1 ) = 4 * 25 = 100 ( false )
f ( 2 ) = 4 * 5 ^4 = 4 * 625 = 2500 ( correct )
Answer:
D ) ( 2, 2500 )