Question

The function f(x) = -√x is shown on the graph.

714
6
16
5
4
3-
2+
1-
7-6-5-4-3-2-1₁ 1 2 3 4
-2+
2 3 4
-3-
4-
-5
5
-6
5 6 7x
Which statement is correct?
O The domain of the function is all real numbers less
than or equal to -1.
O The range of the function is all real numbers greater
than or equal to 0.
O The range of the function is all real numbers less
than or equal to 0.
O The domain of the function is all real numbers less
than or equal to 0.

Answer 1

(c) The range of the function is all real numbers less than or equal to 0

Explanation:

You want the true statement describing the domain or range of f(x) = -√x.

Domain

The domain of the function is the set of values x for which the function is defined. The square root is only defined for non-negative arguments:

x ≥ 0 . . . . . . not an answer choice

Range

The range is of the function is the set of values f(x) that the function can produce. The square root function can produce any non-negative value, so the opposite of the square root function will produce any non-positive value:

f(x) ≤ 0 . . . . . the range is real numbers less than or equal to zero