Functions and Inequalities Challenge

Graph the function f(x) = |x - 3|. What is the vertex of the graph?

• (0, 3)

• (1, 2)

• (3, 3)

• (3, 0)

What is the value of the signum function sgn(-5)?

• -1

• 5

• 1

• 0

Determine the greatest integer value of 4.7.

• 3

• 4.5

• 4

• 5

Solve the inequality |2x - 4| < 6. What is the solution set?

• (-1, 5)

• (5, 10)

• (0, 6)

• (-2, 4)

Graph the function f(x) = |x + 1| - 2. What are the x-intercepts?

• x-intercepts are at x = 1 and x = -3.

• x-intercepts are at x = 1 and x = -1.

• x-intercepts are at x = 2 and x = -4.

• x-intercepts are at x = 0 and x = -2.

What is the value of the signum function sgn(0)?

• undefined

• 0

• -1

• 1

Determine the greatest integer value of -3.2.

• -3

• -5

• -2

• -4

Solve the inequality |x + 5| ≥ 3. What are the solution intervals?

• (-∞, -8] ∪ [-2, ∞)

• (-∞, -10) ∪ [-2, -1]

• [-8, -5) ∪ (-2, 2)

• (-∞, -5) ∪ (-2, ∞)

Graph the function f(x) = -|x - 1| + 3. What is the maximum value of the function?

• 4

• 2

• 3

• 1

What is the value of the signum function sgn(7)?

• 0

• -1

• 5

• 1