Question

If the points (0, 0), (-1, 1), and (-2, 2) lie on the graph of function h, then which of the following rules could represent the function?

h(x) = x2
h(x) = |x|
h(x) = -2x

Answer 1

the function is modulus cause the range of function consists of non-negative numbers with the same magnitude.so the second one is the answer

Answer 2

Option B is the correct answer.

h(x) = |x|

Explanation:

Checking all the options given.

Option A:

h(x) = x²

h(0) = 0² = 0 - Correct

h(-1) = (-1)² = 1 - Correct

h(-2) = (-2)² = 4 - Incorrect

Option A is not correct.

Option B:

h(x) = |x|

h(0) = |0| = 0 - Correct

h(-1) = |-1| = 1 - Correct

h(-2) = |-2|= 2 - Correct

Option B is correct.

Option C:

h(x) = -2x

h(0) = -2 x 0 = 0 - Correct

h(-1) = -2 x -1 = 2 - Incorrect

h(-2) = -2 x -2 = 4 - Incorrect

Option C is not correct.

So Option B is the correct answer.