Absolute value

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   The function $f(x) = -|x + 4| + 3$ has a domain of all real numbers. (i) What $y$-value bounds its range? (ii) Enter $1$ if the range is $y \ge$ that value, or $-1$ if the range is $y \le$ that value.

2. Warm-up

   The function $f(x) = 4|x + 6| - 8$ has a domain of all real numbers. (i) What $y$-value bounds its range? (ii) Enter $1$ if the range is $y \ge$ that value, or $-1$ if the range is $y \le$ that value.

3. Warm-up

   The function $f(x) = 4|x| - 1$ has a domain of all real numbers. (i) What $y$-value bounds its range? (ii) Enter $1$ if the range is $y \ge$ that value, or $-1$ if the range is $y \le$ that value.

Problems shown under their original terms: Generated (template, solver-computed).