Question

For this graph, mark the statements that are true.

a. The domain is the set of all real numbers.
b. b. The range is the set of all real numbers.
c. c. The domain is the set of all real numbers greater than or equal to zero.
d. d. The range is the set of all real numbers greater than or equal to zero.

Answer 1

Options A and D

Explanation:

The given graph for a parabola can be represented by the equation

y = (x - h)² + k

where (h, k) is the vertex of the parabola.

Since vertex of the parabola is (1, 0) so the equation will be

y = (x - 2)² + 0

y = x² -4x + 4

Since domain of the parabola is defined by its x-values

Therefore, domain will be set of all real numbers

Now we know range of a function on graph is defined by the y-values.

Therefore, Range of the given function will be set of all real numbers greater than of equal to zero.

Options A and D are the correct options.