Question

Please help find domain and range

Answer 1

A, because domain is all real numbers and range is In statistics, the range of a set of data is the difference between the largest and smallest values.

Answer 2

Answer: Choice A

• Domain: x > 4
• Range: y > 0

========================================================

Step-by-step explanation:

We want to avoid having a negative number under the square root. Solving
`x-4 \ge 0` leads to
`x \ge 4`

So it appears the domain could involve x = 4 itself; however, if we tried that x value, then we'd get a division by zero error.

So in reality, the domain is x > 4.

-------------

The range of y = sqrt(x) is the set of positive real numbers. So y > 0 is the range for this equation. Shifting left and right does not affect the range, so the range of y = sqrt(x-4) is also y > 0.

We are dividing a positive number (3) over some positive number in the denominator. Overall, the expression
`(3)/(√(x-4))` is positive because positive/positive = positive.

Therefore, the range of the given equation is y > 0

-------------

The graph is shown below. We have a vertical asymptote at x = 4 and a horizontal asymptote at y = 0. The green curve is fenced in the upper right corner (northeast corner).