Alyce Wilkinson

2021-03-11

An absolute value function with a vertex of (4,14) is negative on the interval $(-\mathrm{\infty},-2)$ .

On what other interval is the function negative?

On what other interval is the function negative?

Sadie Eaton

Skilled2021-03-12Added 104 answers

Step 1

The absolute value function with vertex (h,k) is defined as f(x)=a

The vertex is (4,14).

Therefore,

The function can be written without absolute value as

Step 2

The function is negative on the interval

Therefore,

Step 3

Thus, the function becomes

Find the intervals on which

Step 4

Therefore, the function is negative on the intervals

That is, the function is negative on

Thus, the other interval in which the function negative is

Jeffrey Jordon

Expert2021-11-11Added 2607 answers

Answer is given below (on video)

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