Find the range of the function f of x equals square root of the quantity twelve x plus twenty four A.y or equal to 24 C. y or equal to 0

Question

Find the range of the function f of x equals square root of the quantity twelve x plus twenty four A.y < or equal to 12 B. y > or equal to 24 C. y < or equal to 0 D. y > or equal to 0

anonymous · Answer

@mathstudent55  any ideas im stuck...

welshfella · Answer

f(x) = sqrt(12x - 24)

welshfella · Answer

Hint - there are no real square roots of a negative value

anonymous · Answer

im still sort of stuck...im not sure what that means?

welshfella · Answer

- so what is the lowest possible value of 12x - 24?

welshfella · Answer

well can 12x - 24 be negative?

anonymous · Answer

2?

welshfella · Answer

look at the hint

welshfella · Answer

no not 2

anonymous · Answer

so then 0?...

welshfella · Answer

right!

so what is the range ( the possible values of f(x))

anonymous · Answer

y is < or equal to 0?

welshfella · Answer

12x - 24 cannot be negative because you cannot have a square root of a negative quantity

welshfella · Answer

and the square root must be a positive for y to be a function so:-

welshfella · Answer

Y > or equal to zero

welshfella · Answer

D is the correct option

anonymous · Answer

will you help me with other problems so I have a better understanding?

welshfella · Answer

I only have another 10 minutes but ok