Question

For the function f(x)=|x-3 | select all the true statements. A. The function is increasing on the interval [3, 5) B. The function is increasing of the Interval (0, 3) C. The vertex is (0, 3) D. The vertex is (3, 0). E. The y-intercept is (0, 3). F. The y-intercept is (3, 0).​

Answer 1

• D and E

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See attached graph to help with answer choices.

Given function:

• f(x) = | x - 3 |

Answer choices:

• A. The function is increasing on the interval [3, 5) - False, correct interval is [3, + ∞)

• B. The function is increasing on the Interval (0, 3) - False, as shown above

• C. The vertex is (0, 3) - False, the vertex is (3, 0)

• D. The vertex is (3, 0) - TRUE

• E. The y-intercept is (0, 3) - TRUE

• F. The y-intercept is (3, 0) - False, the correct one is given above