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

Answer:

Option B is the correct answer.

  h(x) = |x|

Step-by-step 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.